Question

x/x-1+x-1/x=5/2 quadratic equation​

Answer 1

Answer:

x=(-1/5,2)

Step-by-step explanation:

x/x-1+x-1/x=5/2

x²+(x-1)²=5/2(x-1)x

2[x²+(x-1)²=5/2(x²-x)

2[x²+x²-2x-1]=5x²-5x

2x²+2x²-2x-2=5x²-5x

4x²-2x-2=5x²-5x

-2=5x²-4x²-5x+2x

x²-3x+2=0

x²-2x-x+2=0

x(x-2)-1(x-2)=0

(x-2) (x-1) =0

x=2 ; x=1