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} ,xneq -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}$

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