X(x^2+16x+64)=9(x+8) решите уравнение

Question

X(x^2+16x+64)=9(x+8) решите уравнение

Answer 1

X( x^2 + 16x + 64 ) = 9( x + 8 )
X( x + 8 )^2 - 9( x + 8 ) = 0
( x + 8 )( x( x + 8 ) - 9 ) = 0
( x + 8 )( x^2 + 8x - 9 ) = 0
X + 8 = 0
X = - 8
X^2 + 8x - 9 = 0
D = 64 + 36 = 100 = 10^2
Х1 = ( - 8 + 10 ) : 2 = 1
Х2 = ( - 8 - 10 ) : 2 = - 9
Ответ ( - 8 ) ; ( - 9 ) ; 1

Answer 2

Х^3+16х+64х-9х-72=0
х^3+16х^2+55х-72=0
(х^2+17х+72)(х-1)=0
(х+8)(х-9)(х-1)=0
х=-8; х=-9.1