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Автор - MaKaRoNsHiK

2 Задания:
1)Решите уравнение; x-7=-48/x+7
2)Найдите разность наибольшего и наименьшего его корней уравнения;
x^4-10x^2+9=0

Ответ

Автор - o1l7eg17
1)x-7=-frac{48}{x}+7
x-7=frac{7x-48}{x}
x(x-7)=7x-48
x^2-7x=7x-48
x^2-14x+48=0
D=196-192=4
x_1=frac{16}{2}=8
x_2=frac{12}{2}=6

x^4-10x^2+9=0
x^2=t
t^2-10t+9=0
(t-9)(t-1)=0
t-9=0                        t-1=0
t1=9                           t2=1
x^2=9                       x^2=1
x1=-3    x2=3            x3=1             x4=-1
x_2-x_1=3-(-3)=3+3=9

Ответ

Автор - KABYKENOV
1)умножаем все на х. тогда получим  x^{2} -7x=-48+7x
 x^{2} -14x+48=0
D=196-192=4
x1=16/2=8
x2=12/2=6

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