Question

решите уравнение пожалуйста

Answer 1

1/(х + 6) = 6/x
1*x = 6*(x + 6)
x = 6x + 36
5x = -36
x = -36/5
x = -7.2
Ответ: х = -7.2

Answer 2

$frac{1}{x+6}=frac{6}{x}\\frac{1}{x+6}-frac{6}{x}=0\\frac{x-6x-36}{x(x+6)}=0\\frac{-5x-36}{x(x+6)}=0\\left { {{-5x-36=0} atop {xneq0;xneq-6}} right. \\left { {{-5x=36} atop {xneq0;xneq-6}} right.\\x=-7,2$