Question

Решите уравнения
1) х+7/5х+11 = х+7/11х+5
2) х= 7х+36/х+7

Answer 1

$\frac{x+7}{5x+11} =\frac{x+7}{11x+5};x \neq -\frac{11}{5} ,x\neq -\frac{5}{11}\\(x+7)(11x+5)=(x+7)(5x+11)\\(x+7)(11x+5-5x-11)=0=>(x+7)(6x-6)=0=>(x+7)(x-1)=0\\x={-7;1}$

$x=\frac{7x+36}{x+7};x \neq -7\\x(x+7)=7x+36=>x^2=36=>x={-6;6}$