Question

(USU-RJ) x-5/x-1 + x + 1 = 0

Answer 1

x-5/x-1=-x-1 -> multiplica cruzado
x-5=(-x-1)×(x-1)
x-5=x^2+x-x+1
x-x^2=1+5
x(1-x)=6
1-x=6 ou x=6
x=-6+1
x=-5
Espero ter ajudado! :)