Question

Решите уравнение
(x²+7x)/(x+8)=8/(x+8)

Answer 1

$\dfrac{x^2+7x}{x+8}=\dfrac{8}{x+8}\; \; ,\; \; \; ODZ:\; x\ne -8\\\\\\x^2+7x=8\\\\x^2+7x-8=0\\\\x_1=-8\; ,\; x_2=1\; \; \; (teorema\; Vieta)\\\\x=-8\notin ODZ\; \; \; \Rightarrow \; \; \; Otvet:\; x=1\; .$