x/(x²-x)+2/(1-x²)=5/(x²+x)
x/(x*(x-1))-2/(x²-1)=5/(x*(x+1))
ОДЗ: x≠0 x-1≠0 x≠1 x+1≠0 x≠-1.
x/(x*(x-1))-2/((x-1)*(x+1))=5/(x*(x+1))
1/(x-1)-2/((x-1)*(x+1))=5/(x*(x+1))
x*(x+1)-2x=5*(x-1)
x²+x-2x=5x-5
x²-x=5x-5
x²-6x+5=0 D=16 √D=4
x₁=5 x₂=1 ∉ ОДЗ ⇒
Ответ: .x=5.