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cajka
@cajka
July 2022
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Решите уравнение, пожалуйста, с пошаговым решением.
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СтарыйМатематик
(x^2-5x)^2+10(x^2-5x)+24=0
t=x^2-5x
t^2+10t+24=0
D=4
t=(-10+-2)/2=-4; -6
x^2-5x=-4
x^2-5x+4=0
D=9
x=(5+-3)/2=4; 1
x^2-5x+6=0
D=1
x=(5+-1)/2=3; 2
Ответ: 1; 2; 3; 4
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cajka
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Answers & Comments
t=x^2-5x
t^2+10t+24=0
D=4
t=(-10+-2)/2=-4; -6
x^2-5x=-4
x^2-5x+4=0
D=9
x=(5+-3)/2=4; 1
x^2-5x+6=0
D=1
x=(5+-1)/2=3; 2
Ответ: 1; 2; 3; 4