Решите х+2/х+7=х/х+5+1/8

Question

Решите х+2/х+7=х/х+5+1/8

Answer 1

(x+2)/(x+7)=x/(x+5)+1/8
x≠-7;x≠-5
8(x+5)(x+2)=8(x+7)*x+(x+7)(x+5)
8x²+16x+40x+80=8x²+56x+x²+5x+7x+35
9x²+68x+35-8x²-56x-80=0
x²+12x-45=0
x1+x2=-12 U x1*x2=-45
x1=-15 U x2=3