X/(x+1) + X/(x-3)=x /дробь

Question

X/(x+1) + X/(x-3)=x /дробь

Answer 1

X≠-1 U x≠3
x(x-3)+x(x+1)=x(x-3)(x+1)
x(x-3+x+1)-x(x²+x-3x-3)=0
x(2x-2-x²+2x+3)=0
x(x²-4x-1)=0
x=0
x²-4x-1=0
D=16+4=20
x1=(4-2√5)/2=2-√5
x2=2+√5