Question

Найти корни уравнения х-4/х-5+х-6/х+5=2

Answer 1

 х-4/х-5+х-6/х+5=2
x<>5
x<>-5
(x-4)(x+5)/(x-5)(x+5)+(x-6)(x-5)/(x-5)(x+5)=2(x-5)(x+5)/(x-5)(x+5)
x^2-4x+5x-20+x^2-6x-5x+30=2x^2-50
2x^2-10x+10=2x^2-50
10x=60
x=6