Question

. Розв'яжіть рiвняння (x-3)² -x(x+9)=-6x.

Answer 1

Ответ:

х = 1

Объяснение:

$(x-3)^2-x(x+9)=-6x\\\\(x-3)(x-3)-x(x+9)=-6x\\\\x(x-3)-3(x-3)-x(x+9)=-6x\\\\x^2-3x-3(x-3)-x(x+9)=-6x\\\\x^2-3x-3x+9-x(x+9)=-6x\\\\x^2-6x+9-x(x+9)=-6x\\\\x^2-6x+9-(x^2+9x)=-6x\\\\x^2-6x+9-x^2-9x=-6x\\\\-6x+9-9x=-6x\\\\\\-15x+9=-6x\\\\-15x+9-9=-6x-9\\\\-15x=6x-9$

$-15x+6x=-6x-9+6x\\\\-9x=-6x-9+6x\\\\-9x=-9\\\\\frac{-9x}{-9}=\frac{-9}{-9}\\ \\ x=\frac{-9}{-9}\\ \\x=1$