Question

Решите уравнение, 9 класс x/x-1+1/x+1=1

Answer 1

$\frac{x}{x-1}+\frac{1}{x+1}=1\\\\\frac{x}{x-1}+\frac{1}{x+1}-1=0\\\\\frac{x*(x+1)+1*(x-1)-1*(x^{2}-1) }{(x-1)(x+1)}=0 \\\\\frac{x^{2}+x+x-1-x^{2}+1}{(x-1)(x+1)}=0\\\\\frac{2x}{(x-1)(x+1)}=0\\\\2x=0;x-1\neq 0;x+1\neq0\\\\x=0\\\\Otvet:\boxed{0}$