Question

Решите уравнение.
х+5/x-5=x-5/x+5

Answer 1

$frac{x+5}{x-5}= frac{x-5}{x+5} \ (x+5)^2=(x-5)^2 \ x^2+10x+25=x^2-10x+25 \ 20x=0 \ x=0$

Answer 2

(X+5)/(x-5)=(x-5)/(x+5)|*(x-5)(x+5)
(X+5)(x+5)=(x-5)(x-5)
X²+5x+5x+25=x²-10x+25
20x=0
X=0