Question

Решите уравнение:(x-3)/8=x/(x+3)

Answer 1

Имеем

$\frac{x-3}{8} = \frac{x}{x+3}$

ОДЗ

$x\neq -3$

Решаем

$(x-3)(x+3)=8x\\(x-3)(x+3)-8x=0\\x^2-9-8x=0\\x^2-8x-9=0\\x(x+1)-9(x+1)=0\\(x+1)(x-9)=0\\x+1=0\\x-9=0\\x_1=-1\\x_2=9$