Question

решите уравнение с подробно​

Answer 1

Ответ:

{-4;-3;3}

Объяснение:

$\displaystyle\\(x-1)(x^2+6x+9)=x^2+12x+27\\\\(x-1)(x+3)^2=x^2+3x+9x+27\\\\(x-1)(x+3)(x+3)=x(x+3)+9(x+3)\\\\(x-1)(x+3)(x+3)=(x+3)(x+9)\\\\(x-1)(x+3)(x+3)-(x+3)(x+9)=0\\\\(x+3)((x-1)(x+3)-(x+9))=0\\\\(x+3)(x^2-x+3x-3-x-9)=0\\\\(x+3)(x^2+x-12)=0\\\\(x+3)(x^2+4x-3x-12)=0\\\\(x+3)(x(x+4)-3(x+4))=0\\\\(x+3)(x+4)(x-3)=0\\\\x_1=-3;x_2=-4;x_3=3$