Решите уравнение:(X–1)(x^2+8x+16)=6(x+4). Created by dnivnek. algebra-ru

Решите уравнение:(X–1)(x^2+8x+16)=6(x+4)...

dnivnek @dnivnek

June 2022 1 5 Report

Решите уравнение:
(X–1)(x^2+8x+16)=6(x+4)

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fedortat

Verified answer

X^2+8x+16 = (x+4)^2
(x-1)(x+4)^2-6(x+4) = 0
(x+4)((х-1)(х+4)-6) = 0
х+4=0, или (х-1)(х+4)-6 = 0
х= -4 x^2+4x-x-4-6 = 0
x^2+3x-10 = 0
D = 9 + 40 = 49
x1 = (-3+7) /2 = 2
x2 = (-3-7)/2 = -5
Ответ: х1 = -4; х2 = 2; х3 = -5

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