Question

Решите уравнение 2/y+2-5/y^2-4=3/y-2

Answer 1

$frac{2}{y+2}-frac{5}{y^2-4}=frac{3}{y-2} \ \ frac{2}{y+2}-frac{5}{y^2-4}-frac{3}{y-2}=0 \ \ frac{2}{y+2}-frac{5}{(y-2)(y+2)}-frac{3}{y-2}=0 \ \ frac{2(y-2)-5-3(y+2)}{(y-2)(y+2)}=0 \ \ frac{2y-4-5-3y-6}{(y-2)(y+2)}=0 \ \ frac{-y-15}{(y-2)(y+2)}=0 \ \ frac{y+15}{(y-2)(y+2)}=0 \ \ y neq 2, y neq -2, y=-15$