Как решать ((x+2)/(x-1))-((x-2)/x+1))=4x^2/(x^2-1)...

Question

Как решать ((x+2)/(x-1))-((x-2)/x+1))=4x^2/(x^2-1)...

Answer 1

((x+2)/(x-1))-((x-2)/(x+1))=4x²/(x²-1);
((x+2)(x+1)-(x-2)(x-1))/(x²-1)=4x²/(x²-1);
(x²+2x+x+2-x²+2x+x-2)/(x²-1)=4x²/(x²-1);
6x/(x²-1)=4x²/(x²-1);
6x=4x²;
4x²-6x=0;
2x(2x-3)=0;
x₁=0;
2x-3=0;    
x₂=3/2=1.5;