Question

Rezolvati ecuatia :
x-1/x + x/x-1 =13/6

Answer 1

(x-1)/x + x/(x-1)=13/6
(x-1)²+x²=13x(x-1)/6
x²-2x+1+x²=(13x²-13x)/6
2x²-2x+1=(13x²-13x)/6
12x²-12x+6=13x²-13x
x²-x-6=0
x²+2x-3x-6=0
x(x+2)-3(x-2)=0
(x+2)(x-3)=0
(x+2) =0    x=-2
(x-3)=0      x=3