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

$\frac{1}{x+6}=\frac{6}{x}\\\\\frac{1}{x+6}-\frac{6}{x}=0\\\\\frac{x-6x-36}{x(x+6)}=0\\\\\frac{-5x-36}{x(x+6)}=0\\\\\left \{ {{-5x-36=0} \atop {x\neq0;x\neq-6}} \right. \\\\\left \{ {{-5x=36} \atop {x\neq0;x\neq-6}} \right.\\\\x=-7,2$