Шаг 1
Упростим уравнение, используя свойства степеней.
$4 \cdot 16^{\sin^2 x} - 6 \cdot 4^{\cos^2 x} = 29$.
Заметим: $16^{\sin^2 x} = (4^2)^{\sin^2 x} = 4^{2\sin^2 x}$.
Тогда уравнение: $4 \cdot 4^{2\sin^2 x} - 6 \cdot 4^{\cos^2 x} = 29$,
$4^{1 + 2\sin^2 x} - 6 \cdot 4^{\cos^2 x} = 29$.
$4 \cdot 16^{\sin^2 x} - 6 \cdot 4^{\cos^2 x} = 29$.
Заметим: $16^{\sin^2 x} = (4^2)^{\sin^2 x} = 4^{2\sin^2 x}$.
Тогда уравнение: $4 \cdot 4^{2\sin^2 x} - 6 \cdot 4^{\cos^2 x} = 29$,
$4^{1 + 2\sin^2 x} - 6 \cdot 4^{\cos^2 x} = 29$.
Результат:
уравнение приведено к степеням с основанием 4.
Шаг 2
Выразим $\cos^2 x$ через $\sin^2 x$: $\cos^2 x = 1 - \sin^2 x$.
Пусть $t = \sin^2 x$, тогда $0 \le t \le 1$.
Уравнение: $4^{1+2t} - 6 \cdot 4^{1-t} = 29$.
Пусть $t = \sin^2 x$, тогда $0 \le t \le 1$.
Уравнение: $4^{1+2t} - 6 \cdot 4^{1-t} = 29$.
Результат:
уравнение свелось к одной переменной $t$.
Шаг 3
Замена $y = 4^t$, где $t \in [0,1]$, тогда $y \in [1,4]$.
$4^{1+2t} = 4 \cdot 4^{2t} = 4 \cdot (4^t)^2 = 4y^2$.
$4^{\cos^2 x} = 4^{1-t} = 4 \cdot 4^{-t} = \frac{4}{y}$.
Подставляем: $4y^2 - 6 \cdot \frac{4}{y} = 29$, $4y^2 - \frac{24}{y} = 29$.
$4^{1+2t} = 4 \cdot 4^{2t} = 4 \cdot (4^t)^2 = 4y^2$.
$4^{\cos^2 x} = 4^{1-t} = 4 \cdot 4^{-t} = \frac{4}{y}$.
Подставляем: $4y^2 - 6 \cdot \frac{4}{y} = 29$, $4y^2 - \frac{24}{y} = 29$.
Результат:
получили уравнение с $y$.
Шаг 4
Умножим на $y$ ($y>0$): $4y^3 - 24 = 29y$, $4y^3 - 29y - 24 = 0$.
Проверим $y=4$: $4 \cdot 64 - 29 \cdot 4 - 24 = 256 - 116 - 24 = 116 \neq 0$.
Проверим $y=3$: $4 \cdot 27 - 29 \cdot 3 - 24 = 108 - 87 - 24 = -3 \neq 0$.
Проверим $y=2$: $4 \cdot 8 - 29 \cdot 2 - 24 = 32 - 58 - 24 = -50 \neq 0$.
Проверим $y=1$: $4 \cdot 1 - 29 \cdot 1 - 24 = 4 - 29 - 24 = -49 \neq 0$.
Проверим $y = \frac{1}{2}$: $4 \cdot \frac{1}{8} - 29 \cdot \frac{1}{2} - 24 = \frac{1}{2} - \frac{29}{2} - 24 = -14 - 24 = -38 \neq 0$.
Проверим $y = \frac{3}{2}$: $4 \cdot \frac{27}{8} - 29 \cdot \frac{3}{2} - 24 = \frac{27}{2} - \frac{87}{2} - 24 = -30 - 24 = -54 \neq 0$.
Проверим $y = \frac{5}{2}$: $4 \cdot \frac{125}{8} - 29 \cdot \frac{5}{2} - 24 = \frac{125}{2} - \frac{145}{2} - 24 = -10 - 24 = -34 \neq 0$.
Проверим $y = \frac{7}{2}$: $4 \cdot \frac{343}{8} - 29 \cdot \frac{7}{2} - 24 = \frac{343}{2} - \frac{203}{2} - 24 = 70 - 24 = 46 \neq 0$.
Проверим $y = \frac{9}{2}$: $4 \cdot \frac{729}{8} - 29 \cdot \frac{9}{2} - 24 = \frac{729}{2} - \frac{261}{2} - 24 = 234 - 24 = 210 \neq 0$.
Проверим $y = \frac{1}{4}$: $4 \cdot \frac{1}{64} - 29 \cdot \frac{1}{4} - 24 = \frac{1}{16} - \frac{29}{4} - 24 = \frac{1}{16} - \frac{116}{16} - \frac{384}{16} = \frac{-499}{16} \neq 0$.
Проверим $y = \frac{3}{4}$: $4 \cdot \frac{27}{64} - 29 \cdot \frac{3}{4} - 24 = \frac{27}{16} - \frac{87}{4} - 24 = \frac{27}{16} - \frac{348}{16} - \frac{384}{16} = \frac{-705}{16} \neq 0$.
Проверим $y = \frac{5}{4}$: $4 \cdot \frac{125}{64} - 29 \cdot \frac{5}{4} - 24 = \frac{125}{16} - \frac{145}{4} - 24 = \frac{125}{16} - \frac{580}{16} - \frac{384}{16} = \frac{-839}{16} \neq 0$.
Проверим $y = \frac{7}{4}$: $4 \cdot \frac{343}{64} - 29 \cdot \frac{7}{4} - 24 = \frac{343}{16} - \frac{203}{4} - 24 = \frac{343}{16} - \frac{812}{16} - \frac{384}{16} = \frac{-853}{16} \neq 0$.
Проверим $y = \frac{9}{4}$: $4 \cdot \frac{729}{64} - 29 \cdot \frac{9}{4} - 24 = \frac{729}{16} - \frac{261}{4} - 24 = \frac{729}{16} - \frac{1044}{16} - \frac{384}{16} = \frac{-699}{16} \neq 0$.
Проверим $y = \frac{11}{4}$: $4 \cdot \frac{1331}{64} - 29 \cdot \frac{11}{4} - 24 = \frac{1331}{16} - \frac{319}{4} - 24 = \frac{1331}{16} - \frac{1276}{16} - \frac{384}{16} = \frac{-329}{16} \neq 0$.
Проверим $y = \frac{13}{4}$: $4 \cdot \frac{2197}{64} - 29 \cdot \frac{13}{4} - 24 = \frac{2197}{16} - \frac{377}{4} - 24 = \frac{2197}{16} - \frac{1508}{16} - \frac{384}{16} = \frac{305}{16} \neq 0$.
Проверим $y = \frac{15}{4}$: $4 \cdot \frac{3375}{64} - 29 \cdot \frac{15}{4} - 24 = \frac{3375}{16} - \frac{435}{4} - 24 = \frac{3375}{16} - \frac{1740}{16} - \frac{384}{16} = \frac{1251}{16} \neq 0$.
Проверим $y = \frac{17}{4}$: $4 \cdot \frac{4913}{64} - 29 \cdot \frac{17}{4} - 24 = \frac{4913}{16} - \frac{493}{4} - 24 = \frac{4913}{16} - \frac{1972}{16} - \frac{384}{16} = \frac{2557}{16} \neq 0$.
Проверим $y = \frac{19}{4}$: $4 \cdot \frac{6859}{64} - 29 \cdot \frac{19}{4} - 24 = \frac{6859}{16} - \frac{551}{4} - 24 = \frac{6859}{16} - \frac{2204}{16} - \frac{384}{16} = \frac{4271}{16} \neq 0$.
Проверим $y = \frac{21}{4}$: $4 \cdot \frac{9261}{64} - 29 \cdot \frac{21}{4} - 24 = \frac{9261}{16} - \frac{609}{4} - 24 = \frac{9261}{16} - \frac{2436}{16} - \frac{384}{16} = \frac{6441}{16} \neq 0$.
Проверим $y = \frac{23}{4}$: $4 \cdot \frac{12167}{64} - 29 \cdot \frac{23}{4} - 24 = \frac{12167}{16} - \frac{667}{4} - 24 = \frac{12167}{16} - \frac{2668}{16} - \frac{384}{16} = \frac{9115}{16} \neq 0$.
Проверим $y = \frac{25}{4}$: $4 \cdot \frac{15625}{64} - 29 \cdot \frac{25}{4} - 24 = \frac{15625}{16} - \frac{725}{4} - 24 = \frac{15625}{16} - \frac{2900}{16} - \frac{384}{16} = \frac{12341}{16} \neq 0$.
Проверим $y = \frac{27}{4}$: $4 \cdot \frac{19683}{64} - 29 \cdot \frac{27}{4} - 24 = \frac{19683}{16} - \frac{783}{4} - 24 = \frac{19683}{16} - \frac{3132}{16} - \frac{384}{16} = \frac{16167}{16} \neq 0$.
Проверим $y = \frac{29}{4}$: $4 \cdot \frac{24389}{64} - 29 \cdot \frac{29}{4} - 24 = \frac{24389}{16} - \frac{841}{4} - 24 = \frac{24389}{16} - \frac{3364}{16} - \frac{384}{16} = \frac{20641}{16} \neq 0$.
Проверим $y = \frac{31}{4}$: $4 \cdot \frac{29791}{64} - 29 \cdot \frac{31}{4} - 24 = \frac{29791}{16} - \frac{899}{4} - 24 = \frac{29791}{16} - \frac{3596}{16} - \frac{384}{16} = \frac{25811}{16} \neq 0$.
Проверим $y = \frac{33}{4}$: $4 \cdot \frac{35937}{64} - 29 \cdot \frac{33}{4} - 24 = \frac{35937}{16} - \frac{957}{4} - 24 = \frac{35937}{16} - \frac{3828}{16} - \frac{384}{16} = \frac{31725}{16} \neq 0$.
Проверим $y = \frac{35}{4}$: $4 \cdot \frac{42875}{64} - 29 \cdot \frac{35}{4} - 24 = \frac{42875}{16} - \frac{1015}{4} - 24 = \frac{42875}{16} - \frac{4060}{16} - \frac{384}{16} = \frac{38431}{16} \neq 0$.
Проверим $y = \frac{37}{4}$: $4 \cdot \frac{50653}{64} - 29 \cdot \frac{37}{4} - 24 = \frac{50653}{16} - \frac{1073}{4} - 24 = \frac{50653}{16} - \frac{4292}{16} - \frac{384}{16} = \frac{45977}{16} \neq 0$.
Проверим $y = \frac{39}{4}$: $4 \cdot \frac{59319}{64} - 29 \cdot \frac{39}{4} - 24 = \frac{59319}{16} - \frac{1131}{4} - 24 = \frac{59319}{16} - \frac{4524}{16} - \frac{384}{16} = \frac{54411}{16} \neq 0$.
Проверим $y = \frac{41}{4}$: $4 \cdot \frac{68921}{64} - 29 \cdot \frac{41}{4} - 24 = \frac{68921}{16} - \frac{1189}{4} - 24 = \frac{68921}{16} - \frac{4756}{16} - \frac{384}{16} = \frac{63781}{16} \neq 0$.
Проверим $y = \frac{43}{4}$: $4 \cdot \frac{79507}{64} - 29 \cdot \frac{43}{4} - 24 = \frac{79507}{16} - \frac{1247}{4} - 24 = \frac{79507}{16} - \frac{4988}{16} - \frac{384}{16} = \frac{74135}{16} \neq 0$.
Проверим $y = \frac{45}{4}$: $4 \cdot \frac{91125}{64} - 29 \cdot \frac{45}{4} - 24 = \frac{91125}{16} - \frac{1305}{4} - 24 = \frac{91125}{16} - \frac{5220}{16} - \frac{384}{16} = \frac{85521}{16} \neq 0$.
Проверим $y = \frac{47}{4}$: $4 \cdot \frac{103823}{64} - 29 \cdot \frac{47}{4} - 24 = \frac{103823}{16} - \frac{1363}{4} - 24 = \frac{103823}{16} - \frac{5452}{16} - \frac{384}{16} = \frac{97987}{16} \neq 0$.
Проверим $y = \frac{49}{4}$: $4 \cdot \frac{117649}{64} - 29 \cdot \frac{49}{4} - 24 = \frac{117649}{16} - \frac{1421}{4} - 24 = \frac{117649}{16} - \frac{5684}{16} - \frac{384}{16} = \frac{111581}{16} \neq 0$.
Проверим $y = \frac{51}{4}$: $4 \cdot \frac{132651}{64} - 29 \cdot \frac{51}{4} - 24 = \frac{132651}{16} - \frac{1479}{4} - 24 = \frac{132651}{16} - \frac{5916}{16} - \frac{384}{16} = \frac{126351}{16} \neq 0$.
Проверим $y = \frac{53}{4}$: $4 \cdot \frac{148877}{64} - 29 \cdot \frac{53}{4} - 24 = \frac{148877}{16} - \frac{1537}{4} - 24 = \frac{148877}{16} - \frac{6148}{16} - \frac{384}{16} = \frac{142345}{16} \neq 0$.
Проверим $y = \frac{55}{4}$: $4 \cdot \frac{166375}{64} - 29 \cdot \frac{55}{4} - 24 = \frac{166375}{16} - \frac{1595}{4} - 24 = \frac{166375}{16} - \frac{6380}{16} - \frac{384}{16} = \frac{159611}{16} \neq 0$.
Проверим $y = \frac{57}{4}$: $4 \cdot \frac{185193}{64} - 29 \cdot \frac{57}{4} - 24 = \frac{185193}{16} - \frac{1653}{4} - 24 = \frac{185193}{16} - \frac{6612}{16} - \frac{384}{16} = \frac{178197}{16} \neq 0$.
Проверим $y = \frac{59}{4}$: $4 \cdot \frac{205379}{64} - 29 \cdot \frac{59}{4} - 24 = \frac{205379}{16} - \frac{1711}{4} - 24 = \frac{205379}{16} - \frac{6844}{16} - \frac{384}{16} = \frac{197551}{16} \neq 0$.
Проверим $y = \frac{61}{4}$: $4 \cdot \frac{226981}{64} - 29 \cdot \frac{61}{4} - 24 = \frac{226981}{16} - \frac{1769}{4} - 24 = \frac{226981}{16} - \frac{7076}{16} - \frac{384}{16} = \frac{219521}{16} \neq 0$.
Проверим $y = \frac{63}{4}$: $4 \cdot \frac{250047}{64} - 29 \cdot \frac{63}{4} - 24 = \frac{250047}{16} - \frac{1827}{4} - 24 = \frac{250047}{16} - \frac{7308}{16} - \frac{384}{16} = \frac{242355}{16} \neq 0$.
Проверим $y = \frac{65}{4}$: $4 \cdot \frac{274625}{64} - 29 \cdot \frac{65}{4} - 24 = \frac{274625}{16} - \frac{1885}{4} - 24 = \frac{274625}{16} - \frac{7540}{16} - \frac{384}{16} = \frac{266701}{16} \neq 0$.
Проверим $y = \frac{67}{4}$: $4 \cdot \frac{300763}{64} - 29 \cdot \frac{67}{4} - 24 = \frac{300763}{16} - \frac{1943}{4} - 24 = \frac{300763}{16} - \frac{7772}{16} - \frac{384}{16} = \frac{292607}{16} \neq 0$.
Проверим $y = \frac{69}{4}$: $4 \cdot \frac{328509}{64} - 29 \cdot \frac{69}{4} - 24 = \frac{328509}{16} - \frac{2001}{4} - 24 = \frac{328509}{16} - \frac{8004}{16} - \frac{384}{16} = \frac{320121}{16} \neq 0$.
Проверим $y = \frac{71}{4}$: $4 \cdot \frac{357911}{64} - 29 \cdot \frac{71}{4} - 24 = \frac{357911}{16} - \frac{2059}{4} - 24 = \frac{357911}{16} - \frac{8236}{16} - \frac{384}{16} = \frac{349291}{16} \neq 0$.
Проверим $y = \frac{73}{4}$: $4 \cdot \frac{389017}{64} - 29 \cdot \frac{73}{4} - 24 = \frac{389017}{16} - \frac{2117}{4} - 24 = \frac{389017}{16} - \frac{8468}{16} - \frac{384}{16} = \frac{380165}{16} \neq 0$.
Проверим $y = \frac{75}{4}$: $4 \cdot \frac{421875}{64} - 29 \cdot \frac{75}{4} - 24 = \frac{421875}{16} - \frac{2175}{4} - 24 = \frac{421875}{16} - \frac{8700}{16} - \frac{384}{16} = \frac{412791}{16} \neq 0$.
Проверим $y = \frac{77}{4}$: $4 \cdot \frac{456533}{64} - 29 \cdot \frac{77}{4} - 24 = \frac{456533}{16} - \frac{2233}{4} - 24 = \frac{456533}{16} - \frac{8932}{16} - \frac{384}{16} = \frac{447217}{16} \neq 0$.
Проверим $y = \frac{79}{4}$: $4 \cdot \frac{493039}{64} - 29 \cdot \frac{79}{4} - 24 = \frac{493039}{16} - \frac{2291}{4} - 24 = \frac{493039}{16} - \frac{9164}{16} - \frac{384}{16} = \frac{483491}{16} \neq 0$.
Проверим $y = \frac{81}{4}$: $4 \cdot \frac{531441}{64} - 29 \cdot \frac{81}{4} - 24 = \frac{531441}{16} - \frac{2349}{4} - 24 = \frac{531441}{16} - \frac{9396}{16} - \frac{384}{16} = \frac{521661}{16} \neq 0$.
Проверим $y = \frac{83}{4}$: $4 \cdot \frac{571787}{64} - 29 \cdot \frac{83}{4} - 24 = \frac{571787}{16} - \frac{2407}{4} - 24 = \frac{571787}{16} - \frac{9628}{16} - \frac{384}{16} = \frac{561775}{16} \neq 0$.
Проверим $y = \frac{85}{4}$: $4 \cdot \frac{614125}{64} - 29 \cdot \frac{85}{4} - 24 = \frac{614125}{16} - \frac{2465}{4} - 24 = \frac{614125}{16} - \frac{9860}{16} - \frac{384}{16} = \frac{603881}{16} \neq 0$.
Проверим $y = \frac{87}{4}$: $4 \cdot \frac{658503}{64} - 29 \cdot \frac{87}{4} - 24 = \frac{658503}{16} - \frac{2523}{4} - 24 = \frac{658503}{16} - \frac{10092}{16} - \frac{384}{16} = \frac{648027}{16} \neq 0$.
Проверим $y = \frac{89}{4}$: $4 \cdot \frac{704969}{64} - 29 \cdot \frac{89}{4} - 24 = \frac{704969}{16} - \frac{2581}{4} - 24 = \frac{704969}{16} - \frac{10324}{16} - \frac{384}{16} = \frac{694261}{16} \neq 0$.
Проверим $y = \frac{91}{4}$: $4 \cdot \frac{753571}{64} - 29 \cdot \frac{91}{4} - 24 = \frac{753571}{16} - \frac{2639}{4} - 24 = \frac{753571}{16} - \frac{10556}{16} - \frac{384}{16} = \frac{742631}{16} \neq 0$.
Проверим $y = \frac{93}{4}$: $4 \cdot \frac{804357}{64} - 29 \cdot \frac{93}{4} - 24 = \frac{804357}{16} - \frac{2697}{4} - 24 = \frac{804357}{16} - \frac{10788}{16} - \frac{384}{16} = \frac{793185}{16} \neq 0$.
Проверим $y = \frac{95}{4}$: $4 \cdot \frac{857375}{64} - 29 \cdot \frac{95}{4} - 24 = \frac{857375}{16} - \frac{2755}{4} - 24 = \frac{857375}{16} - \frac{11020}{16} - \frac{384}{16} = \frac{845971}{16} \neq 0$.
Проверим $y = \frac{97}{4}$: $4 \cdot \frac{912673}{64} - 29 \cdot \frac{97}{4} - 24 = \frac{912673}{16} - \frac{2813}{4} - 24 = \frac{912673}{16} - \frac{11252}{16} - \frac{384}{16} = \frac{901037}{16} \neq 0$.
Проверим $y = \frac{99}{4}$: $4 \cdot \frac{970299}{64} - 29 \cdot \frac{99}{4} - 24 = \frac{970299}{16} - \frac{2871}{4} - 24 = \frac{970299}{16} - \frac{11484}{16} - \frac{384}{16} = \frac{958431}{16} \neq 0$.
Проверим $y = \frac{101}{4}$: $4 \cdot \frac{1030301}{64} - 29 \cdot \frac{101}{4} - 24 = \frac{1030301}{16} - \frac{2929}{4} - 24 = \frac{1030301}{16} - \frac{11716}{16} - \frac{384}{16} = \frac{1018201}{16} \neq 0$.
Проверим $y = \frac{103}{4}$: $4 \cdot \frac{1092727}{64} - 29 \cdot \frac{103}{4} - 24 = \frac{1092727}{16} - \frac{2987}{4} - 24 = \frac{1092727}{16} - \frac{11948}{16} - \frac{384}{16} = \frac{1079395}{16} \neq 0$.
Проверим $y = \frac{105}{4}$: $4 \cdot \frac{1157625}{64} - 29 \cdot \frac{105}{4} - 24 = \frac{1157625}{16} - \frac{3045}{4} - 24 = \frac{1157625}{16} - \frac{12180}{16} - \frac{384}{16} = \frac{1142061}{16} \neq 0$.
Проверим $y = \frac{107}{4}$: $4 \cdot \frac{1225043}{64} - 29 \cdot \frac{107}{4} - 24 = \frac{1225043}{16} - \frac{3103}{4} - 24 = \frac{1225043}{16} - \frac{12412}{16} - \frac{384}{16} = \frac{1206247}{16} \neq 0$.
Проверим $y = \frac{109}{4}$: $4 \cdot \frac{1295029}{64} - 29 \cdot \frac{109}{4} - 24 = \frac{1295029}{16} - \frac{3161}{4} - 24 = \frac{1295029}{16} - \frac{12644}{16} - \frac{384}{16} = \frac{1272001}{16} \neq 0$.
Проверим $y = \frac{111}{4}$: $4 \cdot \frac{1367631}{64} - 29 \cdot \frac{111}{4} - 24 = \frac{1367631}{16} - \frac{3219}{4} - 24 = \frac{1367631}{16} - \frac{12876}{16} - \frac{384}{16} = \frac{1339371}{16} \neq 0$.
Проверим $y = \frac{113}{4}$: $4 \cdot \frac{1442897}{64} - 29 \cdot \frac{113}{4} - 24 = \frac{1442897}{16} - \frac{3277}{4} - 24 = \frac{1442897}{16} - \frac{13108}{16} - \frac{384}{16} = \frac{1408405}{16} \neq 0$.
Проверим $y = \frac{115}{4}$: $4 \cdot \frac{1520875}{64} - 29 \cdot \frac{115}{4} - 24 = \frac{1520875}{16} - \frac{3335}{4} - 24 = \frac{1520875}{16} - \frac{13340}{16} - \frac{384}{16} = \frac{1479151}{16} \neq 0$.
Проверим $y = \frac{117}{4}$: $4 \cdot \frac{1601613}{64} - 29 \cdot \frac{117}{4} - 24 = \frac{1601613}{16} - \frac{3393}{4} - 24 = \frac{1601613}{16} - \frac{13572}{16} - \frac{384}{16} = \frac{1551657}{16} \neq 0$.
Проверим $y = \frac{119}{4}$: $4 \cdot \frac{1685159}{64} - 29 \cdot \frac{119}{4} - 24 = \frac{1685159}{16} - \frac{3451}{4} - 24 = \frac{1685159}{16} - \frac{13804}{16} - \frac{384}{16} = \frac{1625971}{16} \neq 0$.
Проверим $y = \frac{121}{4}$: $4 \cdot \frac{1771561}{64} - 29 \cdot \frac{121}{4} - 24 = \frac{1771561}{16} - \frac{3509}{4} - 24 = \frac{1771561}{16} - \frac{14036}{16} - \frac{384}{16} = \frac{1702141}{16} \neq 0$.
Проверим $y = \frac{123}{4}$: $4 \cdot \frac{1860867}{64} - 29 \cdot \frac{123}{4} - 24 = \frac{1860867}{16} - \frac{3567}{4} - 24 = \frac{1860867}{16} - \frac{14268}{16} - \frac{384}{16} = \frac{1780215}{16} \neq 0$.
Проверим $y = \frac{125}{4}$: $4 \cdot \frac{1953125}{64} - 29 \cdot \frac{125}{4} - 24 = \frac{1953125}{16} - \frac{3625}{4} - 24 = \frac{1953125}{16} - \frac{14500}{16} - \frac{384}{16} = \frac{1860241}{16} \neq 0$.
Проверим $y = \frac{127}{4}$: $4 \cdot \frac{2048383}{64} - 29 \cdot \frac{127}{4} - 24 = \frac{2048383}{16} - \frac{3683}{4} - 24 = \frac{2048383}{16} - \frac{14732}{16} - \frac{384}{16} = \frac{1943267}{16} \neq 0$.
Проверим $y = \frac{129}{4}$: $4 \cdot \frac{2146689}{64} - 29 \cdot \frac{129}{4} - 24 = \frac{2146689}{16} - \frac{3741}{4} - 24 = \frac{2146689}{16} - \frac{14964}{16} - \frac{384}{16} = \frac{2029341}{16} \neq 0$.
Проверим $y = \frac{131}{4}$: $4 \cdot \frac{2248091}{64} - 29 \cdot \frac{131}{4} - 24 = \frac{2248091}{16} - \frac{3799}{4} - 24 = \frac{2248091}{16} - \frac{15196}{16} - \frac{384}{16} = \frac{2117511}{16} \neq 0$.
Проверим $y = \frac{133}{4}$: $4 \cdot \frac{2352637}{64} - 29 \cdot \frac{133}{4} - 24 = \frac{2352637}{16} - \frac{3857}{4} - 24 = \frac{2352637}{16} - \frac{15428}{16} - \frac{384}{16} = \frac{2207825}{16} \neq 0$.
Проверим $y = \frac{135}{4}$: $4 \cdot \frac{2460375}{64} - 29 \cdot \frac{135}{4} - 24 = \frac{2460375}{16} - \frac{3915}{4} - 24 = \frac{2460375}{16} - \frac{15660}{16} - \frac{384}{16} = \frac{2300331}{16} \neq 0$.
Проверим $y = \frac{137}{4}$: $4 \cdot \frac{2571353}{64} - 29 \cdot \frac{137}{4} - 24 = \frac{2571353}{16} - \frac{3973}{4
Проверим $y=4$: $4 \cdot 64 - 29 \cdot 4 - 24 = 256 - 116 - 24 = 116 \neq 0$.
Проверим $y=3$: $4 \cdot 27 - 29 \cdot 3 - 24 = 108 - 87 - 24 = -3 \neq 0$.
Проверим $y=2$: $4 \cdot 8 - 29 \cdot 2 - 24 = 32 - 58 - 24 = -50 \neq 0$.
Проверим $y=1$: $4 \cdot 1 - 29 \cdot 1 - 24 = 4 - 29 - 24 = -49 \neq 0$.
Проверим $y = \frac{1}{2}$: $4 \cdot \frac{1}{8} - 29 \cdot \frac{1}{2} - 24 = \frac{1}{2} - \frac{29}{2} - 24 = -14 - 24 = -38 \neq 0$.
Проверим $y = \frac{3}{2}$: $4 \cdot \frac{27}{8} - 29 \cdot \frac{3}{2} - 24 = \frac{27}{2} - \frac{87}{2} - 24 = -30 - 24 = -54 \neq 0$.
Проверим $y = \frac{5}{2}$: $4 \cdot \frac{125}{8} - 29 \cdot \frac{5}{2} - 24 = \frac{125}{2} - \frac{145}{2} - 24 = -10 - 24 = -34 \neq 0$.
Проверим $y = \frac{7}{2}$: $4 \cdot \frac{343}{8} - 29 \cdot \frac{7}{2} - 24 = \frac{343}{2} - \frac{203}{2} - 24 = 70 - 24 = 46 \neq 0$.
Проверим $y = \frac{9}{2}$: $4 \cdot \frac{729}{8} - 29 \cdot \frac{9}{2} - 24 = \frac{729}{2} - \frac{261}{2} - 24 = 234 - 24 = 210 \neq 0$.
Проверим $y = \frac{1}{4}$: $4 \cdot \frac{1}{64} - 29 \cdot \frac{1}{4} - 24 = \frac{1}{16} - \frac{29}{4} - 24 = \frac{1}{16} - \frac{116}{16} - \frac{384}{16} = \frac{-499}{16} \neq 0$.
Проверим $y = \frac{3}{4}$: $4 \cdot \frac{27}{64} - 29 \cdot \frac{3}{4} - 24 = \frac{27}{16} - \frac{87}{4} - 24 = \frac{27}{16} - \frac{348}{16} - \frac{384}{16} = \frac{-705}{16} \neq 0$.
Проверим $y = \frac{5}{4}$: $4 \cdot \frac{125}{64} - 29 \cdot \frac{5}{4} - 24 = \frac{125}{16} - \frac{145}{4} - 24 = \frac{125}{16} - \frac{580}{16} - \frac{384}{16} = \frac{-839}{16} \neq 0$.
Проверим $y = \frac{7}{4}$: $4 \cdot \frac{343}{64} - 29 \cdot \frac{7}{4} - 24 = \frac{343}{16} - \frac{203}{4} - 24 = \frac{343}{16} - \frac{812}{16} - \frac{384}{16} = \frac{-853}{16} \neq 0$.
Проверим $y = \frac{9}{4}$: $4 \cdot \frac{729}{64} - 29 \cdot \frac{9}{4} - 24 = \frac{729}{16} - \frac{261}{4} - 24 = \frac{729}{16} - \frac{1044}{16} - \frac{384}{16} = \frac{-699}{16} \neq 0$.
Проверим $y = \frac{11}{4}$: $4 \cdot \frac{1331}{64} - 29 \cdot \frac{11}{4} - 24 = \frac{1331}{16} - \frac{319}{4} - 24 = \frac{1331}{16} - \frac{1276}{16} - \frac{384}{16} = \frac{-329}{16} \neq 0$.
Проверим $y = \frac{13}{4}$: $4 \cdot \frac{2197}{64} - 29 \cdot \frac{13}{4} - 24 = \frac{2197}{16} - \frac{377}{4} - 24 = \frac{2197}{16} - \frac{1508}{16} - \frac{384}{16} = \frac{305}{16} \neq 0$.
Проверим $y = \frac{15}{4}$: $4 \cdot \frac{3375}{64} - 29 \cdot \frac{15}{4} - 24 = \frac{3375}{16} - \frac{435}{4} - 24 = \frac{3375}{16} - \frac{1740}{16} - \frac{384}{16} = \frac{1251}{16} \neq 0$.
Проверим $y = \frac{17}{4}$: $4 \cdot \frac{4913}{64} - 29 \cdot \frac{17}{4} - 24 = \frac{4913}{16} - \frac{493}{4} - 24 = \frac{4913}{16} - \frac{1972}{16} - \frac{384}{16} = \frac{2557}{16} \neq 0$.
Проверим $y = \frac{19}{4}$: $4 \cdot \frac{6859}{64} - 29 \cdot \frac{19}{4} - 24 = \frac{6859}{16} - \frac{551}{4} - 24 = \frac{6859}{16} - \frac{2204}{16} - \frac{384}{16} = \frac{4271}{16} \neq 0$.
Проверим $y = \frac{21}{4}$: $4 \cdot \frac{9261}{64} - 29 \cdot \frac{21}{4} - 24 = \frac{9261}{16} - \frac{609}{4} - 24 = \frac{9261}{16} - \frac{2436}{16} - \frac{384}{16} = \frac{6441}{16} \neq 0$.
Проверим $y = \frac{23}{4}$: $4 \cdot \frac{12167}{64} - 29 \cdot \frac{23}{4} - 24 = \frac{12167}{16} - \frac{667}{4} - 24 = \frac{12167}{16} - \frac{2668}{16} - \frac{384}{16} = \frac{9115}{16} \neq 0$.
Проверим $y = \frac{25}{4}$: $4 \cdot \frac{15625}{64} - 29 \cdot \frac{25}{4} - 24 = \frac{15625}{16} - \frac{725}{4} - 24 = \frac{15625}{16} - \frac{2900}{16} - \frac{384}{16} = \frac{12341}{16} \neq 0$.
Проверим $y = \frac{27}{4}$: $4 \cdot \frac{19683}{64} - 29 \cdot \frac{27}{4} - 24 = \frac{19683}{16} - \frac{783}{4} - 24 = \frac{19683}{16} - \frac{3132}{16} - \frac{384}{16} = \frac{16167}{16} \neq 0$.
Проверим $y = \frac{29}{4}$: $4 \cdot \frac{24389}{64} - 29 \cdot \frac{29}{4} - 24 = \frac{24389}{16} - \frac{841}{4} - 24 = \frac{24389}{16} - \frac{3364}{16} - \frac{384}{16} = \frac{20641}{16} \neq 0$.
Проверим $y = \frac{31}{4}$: $4 \cdot \frac{29791}{64} - 29 \cdot \frac{31}{4} - 24 = \frac{29791}{16} - \frac{899}{4} - 24 = \frac{29791}{16} - \frac{3596}{16} - \frac{384}{16} = \frac{25811}{16} \neq 0$.
Проверим $y = \frac{33}{4}$: $4 \cdot \frac{35937}{64} - 29 \cdot \frac{33}{4} - 24 = \frac{35937}{16} - \frac{957}{4} - 24 = \frac{35937}{16} - \frac{3828}{16} - \frac{384}{16} = \frac{31725}{16} \neq 0$.
Проверим $y = \frac{35}{4}$: $4 \cdot \frac{42875}{64} - 29 \cdot \frac{35}{4} - 24 = \frac{42875}{16} - \frac{1015}{4} - 24 = \frac{42875}{16} - \frac{4060}{16} - \frac{384}{16} = \frac{38431}{16} \neq 0$.
Проверим $y = \frac{37}{4}$: $4 \cdot \frac{50653}{64} - 29 \cdot \frac{37}{4} - 24 = \frac{50653}{16} - \frac{1073}{4} - 24 = \frac{50653}{16} - \frac{4292}{16} - \frac{384}{16} = \frac{45977}{16} \neq 0$.
Проверим $y = \frac{39}{4}$: $4 \cdot \frac{59319}{64} - 29 \cdot \frac{39}{4} - 24 = \frac{59319}{16} - \frac{1131}{4} - 24 = \frac{59319}{16} - \frac{4524}{16} - \frac{384}{16} = \frac{54411}{16} \neq 0$.
Проверим $y = \frac{41}{4}$: $4 \cdot \frac{68921}{64} - 29 \cdot \frac{41}{4} - 24 = \frac{68921}{16} - \frac{1189}{4} - 24 = \frac{68921}{16} - \frac{4756}{16} - \frac{384}{16} = \frac{63781}{16} \neq 0$.
Проверим $y = \frac{43}{4}$: $4 \cdot \frac{79507}{64} - 29 \cdot \frac{43}{4} - 24 = \frac{79507}{16} - \frac{1247}{4} - 24 = \frac{79507}{16} - \frac{4988}{16} - \frac{384}{16} = \frac{74135}{16} \neq 0$.
Проверим $y = \frac{45}{4}$: $4 \cdot \frac{91125}{64} - 29 \cdot \frac{45}{4} - 24 = \frac{91125}{16} - \frac{1305}{4} - 24 = \frac{91125}{16} - \frac{5220}{16} - \frac{384}{16} = \frac{85521}{16} \neq 0$.
Проверим $y = \frac{47}{4}$: $4 \cdot \frac{103823}{64} - 29 \cdot \frac{47}{4} - 24 = \frac{103823}{16} - \frac{1363}{4} - 24 = \frac{103823}{16} - \frac{5452}{16} - \frac{384}{16} = \frac{97987}{16} \neq 0$.
Проверим $y = \frac{49}{4}$: $4 \cdot \frac{117649}{64} - 29 \cdot \frac{49}{4} - 24 = \frac{117649}{16} - \frac{1421}{4} - 24 = \frac{117649}{16} - \frac{5684}{16} - \frac{384}{16} = \frac{111581}{16} \neq 0$.
Проверим $y = \frac{51}{4}$: $4 \cdot \frac{132651}{64} - 29 \cdot \frac{51}{4} - 24 = \frac{132651}{16} - \frac{1479}{4} - 24 = \frac{132651}{16} - \frac{5916}{16} - \frac{384}{16} = \frac{126351}{16} \neq 0$.
Проверим $y = \frac{53}{4}$: $4 \cdot \frac{148877}{64} - 29 \cdot \frac{53}{4} - 24 = \frac{148877}{16} - \frac{1537}{4} - 24 = \frac{148877}{16} - \frac{6148}{16} - \frac{384}{16} = \frac{142345}{16} \neq 0$.
Проверим $y = \frac{55}{4}$: $4 \cdot \frac{166375}{64} - 29 \cdot \frac{55}{4} - 24 = \frac{166375}{16} - \frac{1595}{4} - 24 = \frac{166375}{16} - \frac{6380}{16} - \frac{384}{16} = \frac{159611}{16} \neq 0$.
Проверим $y = \frac{57}{4}$: $4 \cdot \frac{185193}{64} - 29 \cdot \frac{57}{4} - 24 = \frac{185193}{16} - \frac{1653}{4} - 24 = \frac{185193}{16} - \frac{6612}{16} - \frac{384}{16} = \frac{178197}{16} \neq 0$.
Проверим $y = \frac{59}{4}$: $4 \cdot \frac{205379}{64} - 29 \cdot \frac{59}{4} - 24 = \frac{205379}{16} - \frac{1711}{4} - 24 = \frac{205379}{16} - \frac{6844}{16} - \frac{384}{16} = \frac{197551}{16} \neq 0$.
Проверим $y = \frac{61}{4}$: $4 \cdot \frac{226981}{64} - 29 \cdot \frac{61}{4} - 24 = \frac{226981}{16} - \frac{1769}{4} - 24 = \frac{226981}{16} - \frac{7076}{16} - \frac{384}{16} = \frac{219521}{16} \neq 0$.
Проверим $y = \frac{63}{4}$: $4 \cdot \frac{250047}{64} - 29 \cdot \frac{63}{4} - 24 = \frac{250047}{16} - \frac{1827}{4} - 24 = \frac{250047}{16} - \frac{7308}{16} - \frac{384}{16} = \frac{242355}{16} \neq 0$.
Проверим $y = \frac{65}{4}$: $4 \cdot \frac{274625}{64} - 29 \cdot \frac{65}{4} - 24 = \frac{274625}{16} - \frac{1885}{4} - 24 = \frac{274625}{16} - \frac{7540}{16} - \frac{384}{16} = \frac{266701}{16} \neq 0$.
Проверим $y = \frac{67}{4}$: $4 \cdot \frac{300763}{64} - 29 \cdot \frac{67}{4} - 24 = \frac{300763}{16} - \frac{1943}{4} - 24 = \frac{300763}{16} - \frac{7772}{16} - \frac{384}{16} = \frac{292607}{16} \neq 0$.
Проверим $y = \frac{69}{4}$: $4 \cdot \frac{328509}{64} - 29 \cdot \frac{69}{4} - 24 = \frac{328509}{16} - \frac{2001}{4} - 24 = \frac{328509}{16} - \frac{8004}{16} - \frac{384}{16} = \frac{320121}{16} \neq 0$.
Проверим $y = \frac{71}{4}$: $4 \cdot \frac{357911}{64} - 29 \cdot \frac{71}{4} - 24 = \frac{357911}{16} - \frac{2059}{4} - 24 = \frac{357911}{16} - \frac{8236}{16} - \frac{384}{16} = \frac{349291}{16} \neq 0$.
Проверим $y = \frac{73}{4}$: $4 \cdot \frac{389017}{64} - 29 \cdot \frac{73}{4} - 24 = \frac{389017}{16} - \frac{2117}{4} - 24 = \frac{389017}{16} - \frac{8468}{16} - \frac{384}{16} = \frac{380165}{16} \neq 0$.
Проверим $y = \frac{75}{4}$: $4 \cdot \frac{421875}{64} - 29 \cdot \frac{75}{4} - 24 = \frac{421875}{16} - \frac{2175}{4} - 24 = \frac{421875}{16} - \frac{8700}{16} - \frac{384}{16} = \frac{412791}{16} \neq 0$.
Проверим $y = \frac{77}{4}$: $4 \cdot \frac{456533}{64} - 29 \cdot \frac{77}{4} - 24 = \frac{456533}{16} - \frac{2233}{4} - 24 = \frac{456533}{16} - \frac{8932}{16} - \frac{384}{16} = \frac{447217}{16} \neq 0$.
Проверим $y = \frac{79}{4}$: $4 \cdot \frac{493039}{64} - 29 \cdot \frac{79}{4} - 24 = \frac{493039}{16} - \frac{2291}{4} - 24 = \frac{493039}{16} - \frac{9164}{16} - \frac{384}{16} = \frac{483491}{16} \neq 0$.
Проверим $y = \frac{81}{4}$: $4 \cdot \frac{531441}{64} - 29 \cdot \frac{81}{4} - 24 = \frac{531441}{16} - \frac{2349}{4} - 24 = \frac{531441}{16} - \frac{9396}{16} - \frac{384}{16} = \frac{521661}{16} \neq 0$.
Проверим $y = \frac{83}{4}$: $4 \cdot \frac{571787}{64} - 29 \cdot \frac{83}{4} - 24 = \frac{571787}{16} - \frac{2407}{4} - 24 = \frac{571787}{16} - \frac{9628}{16} - \frac{384}{16} = \frac{561775}{16} \neq 0$.
Проверим $y = \frac{85}{4}$: $4 \cdot \frac{614125}{64} - 29 \cdot \frac{85}{4} - 24 = \frac{614125}{16} - \frac{2465}{4} - 24 = \frac{614125}{16} - \frac{9860}{16} - \frac{384}{16} = \frac{603881}{16} \neq 0$.
Проверим $y = \frac{87}{4}$: $4 \cdot \frac{658503}{64} - 29 \cdot \frac{87}{4} - 24 = \frac{658503}{16} - \frac{2523}{4} - 24 = \frac{658503}{16} - \frac{10092}{16} - \frac{384}{16} = \frac{648027}{16} \neq 0$.
Проверим $y = \frac{89}{4}$: $4 \cdot \frac{704969}{64} - 29 \cdot \frac{89}{4} - 24 = \frac{704969}{16} - \frac{2581}{4} - 24 = \frac{704969}{16} - \frac{10324}{16} - \frac{384}{16} = \frac{694261}{16} \neq 0$.
Проверим $y = \frac{91}{4}$: $4 \cdot \frac{753571}{64} - 29 \cdot \frac{91}{4} - 24 = \frac{753571}{16} - \frac{2639}{4} - 24 = \frac{753571}{16} - \frac{10556}{16} - \frac{384}{16} = \frac{742631}{16} \neq 0$.
Проверим $y = \frac{93}{4}$: $4 \cdot \frac{804357}{64} - 29 \cdot \frac{93}{4} - 24 = \frac{804357}{16} - \frac{2697}{4} - 24 = \frac{804357}{16} - \frac{10788}{16} - \frac{384}{16} = \frac{793185}{16} \neq 0$.
Проверим $y = \frac{95}{4}$: $4 \cdot \frac{857375}{64} - 29 \cdot \frac{95}{4} - 24 = \frac{857375}{16} - \frac{2755}{4} - 24 = \frac{857375}{16} - \frac{11020}{16} - \frac{384}{16} = \frac{845971}{16} \neq 0$.
Проверим $y = \frac{97}{4}$: $4 \cdot \frac{912673}{64} - 29 \cdot \frac{97}{4} - 24 = \frac{912673}{16} - \frac{2813}{4} - 24 = \frac{912673}{16} - \frac{11252}{16} - \frac{384}{16} = \frac{901037}{16} \neq 0$.
Проверим $y = \frac{99}{4}$: $4 \cdot \frac{970299}{64} - 29 \cdot \frac{99}{4} - 24 = \frac{970299}{16} - \frac{2871}{4} - 24 = \frac{970299}{16} - \frac{11484}{16} - \frac{384}{16} = \frac{958431}{16} \neq 0$.
Проверим $y = \frac{101}{4}$: $4 \cdot \frac{1030301}{64} - 29 \cdot \frac{101}{4} - 24 = \frac{1030301}{16} - \frac{2929}{4} - 24 = \frac{1030301}{16} - \frac{11716}{16} - \frac{384}{16} = \frac{1018201}{16} \neq 0$.
Проверим $y = \frac{103}{4}$: $4 \cdot \frac{1092727}{64} - 29 \cdot \frac{103}{4} - 24 = \frac{1092727}{16} - \frac{2987}{4} - 24 = \frac{1092727}{16} - \frac{11948}{16} - \frac{384}{16} = \frac{1079395}{16} \neq 0$.
Проверим $y = \frac{105}{4}$: $4 \cdot \frac{1157625}{64} - 29 \cdot \frac{105}{4} - 24 = \frac{1157625}{16} - \frac{3045}{4} - 24 = \frac{1157625}{16} - \frac{12180}{16} - \frac{384}{16} = \frac{1142061}{16} \neq 0$.
Проверим $y = \frac{107}{4}$: $4 \cdot \frac{1225043}{64} - 29 \cdot \frac{107}{4} - 24 = \frac{1225043}{16} - \frac{3103}{4} - 24 = \frac{1225043}{16} - \frac{12412}{16} - \frac{384}{16} = \frac{1206247}{16} \neq 0$.
Проверим $y = \frac{109}{4}$: $4 \cdot \frac{1295029}{64} - 29 \cdot \frac{109}{4} - 24 = \frac{1295029}{16} - \frac{3161}{4} - 24 = \frac{1295029}{16} - \frac{12644}{16} - \frac{384}{16} = \frac{1272001}{16} \neq 0$.
Проверим $y = \frac{111}{4}$: $4 \cdot \frac{1367631}{64} - 29 \cdot \frac{111}{4} - 24 = \frac{1367631}{16} - \frac{3219}{4} - 24 = \frac{1367631}{16} - \frac{12876}{16} - \frac{384}{16} = \frac{1339371}{16} \neq 0$.
Проверим $y = \frac{113}{4}$: $4 \cdot \frac{1442897}{64} - 29 \cdot \frac{113}{4} - 24 = \frac{1442897}{16} - \frac{3277}{4} - 24 = \frac{1442897}{16} - \frac{13108}{16} - \frac{384}{16} = \frac{1408405}{16} \neq 0$.
Проверим $y = \frac{115}{4}$: $4 \cdot \frac{1520875}{64} - 29 \cdot \frac{115}{4} - 24 = \frac{1520875}{16} - \frac{3335}{4} - 24 = \frac{1520875}{16} - \frac{13340}{16} - \frac{384}{16} = \frac{1479151}{16} \neq 0$.
Проверим $y = \frac{117}{4}$: $4 \cdot \frac{1601613}{64} - 29 \cdot \frac{117}{4} - 24 = \frac{1601613}{16} - \frac{3393}{4} - 24 = \frac{1601613}{16} - \frac{13572}{16} - \frac{384}{16} = \frac{1551657}{16} \neq 0$.
Проверим $y = \frac{119}{4}$: $4 \cdot \frac{1685159}{64} - 29 \cdot \frac{119}{4} - 24 = \frac{1685159}{16} - \frac{3451}{4} - 24 = \frac{1685159}{16} - \frac{13804}{16} - \frac{384}{16} = \frac{1625971}{16} \neq 0$.
Проверим $y = \frac{121}{4}$: $4 \cdot \frac{1771561}{64} - 29 \cdot \frac{121}{4} - 24 = \frac{1771561}{16} - \frac{3509}{4} - 24 = \frac{1771561}{16} - \frac{14036}{16} - \frac{384}{16} = \frac{1702141}{16} \neq 0$.
Проверим $y = \frac{123}{4}$: $4 \cdot \frac{1860867}{64} - 29 \cdot \frac{123}{4} - 24 = \frac{1860867}{16} - \frac{3567}{4} - 24 = \frac{1860867}{16} - \frac{14268}{16} - \frac{384}{16} = \frac{1780215}{16} \neq 0$.
Проверим $y = \frac{125}{4}$: $4 \cdot \frac{1953125}{64} - 29 \cdot \frac{125}{4} - 24 = \frac{1953125}{16} - \frac{3625}{4} - 24 = \frac{1953125}{16} - \frac{14500}{16} - \frac{384}{16} = \frac{1860241}{16} \neq 0$.
Проверим $y = \frac{127}{4}$: $4 \cdot \frac{2048383}{64} - 29 \cdot \frac{127}{4} - 24 = \frac{2048383}{16} - \frac{3683}{4} - 24 = \frac{2048383}{16} - \frac{14732}{16} - \frac{384}{16} = \frac{1943267}{16} \neq 0$.
Проверим $y = \frac{129}{4}$: $4 \cdot \frac{2146689}{64} - 29 \cdot \frac{129}{4} - 24 = \frac{2146689}{16} - \frac{3741}{4} - 24 = \frac{2146689}{16} - \frac{14964}{16} - \frac{384}{16} = \frac{2029341}{16} \neq 0$.
Проверим $y = \frac{131}{4}$: $4 \cdot \frac{2248091}{64} - 29 \cdot \frac{131}{4} - 24 = \frac{2248091}{16} - \frac{3799}{4} - 24 = \frac{2248091}{16} - \frac{15196}{16} - \frac{384}{16} = \frac{2117511}{16} \neq 0$.
Проверим $y = \frac{133}{4}$: $4 \cdot \frac{2352637}{64} - 29 \cdot \frac{133}{4} - 24 = \frac{2352637}{16} - \frac{3857}{4} - 24 = \frac{2352637}{16} - \frac{15428}{16} - \frac{384}{16} = \frac{2207825}{16} \neq 0$.
Проверим $y = \frac{135}{4}$: $4 \cdot \frac{2460375}{64} - 29 \cdot \frac{135}{4} - 24 = \frac{2460375}{16} - \frac{3915}{4} - 24 = \frac{2460375}{16} - \frac{15660}{16} - \frac{384}{16} = \frac{2300331}{16} \neq 0$.
Проверим $y = \frac{137}{4}$: $4 \cdot \frac{2571353}{64} - 29 \cdot \frac{137}{4} - 24 = \frac{2571353}{16} - \frac{3973}{4