Question

x/x-1+x-1/x=2 1/2 solve it​

Answer 1

Answer:

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

x²+(x-1)²/x(x-1)=5/2

x²+x²+1-2x/x(x-1)=5/2

2x²-2x+1/x(x-1)=5/2

2x²-2x+1=x(x-1)×5/2

2x²-2x+1=(x²-x)(5/2)

2(2x²-2x+1)=5x²-5x

4x²-4x+2=5x²-5x

5x²-4x²-5x+4x-2=0

x²-x-2=0

x²-2x+x-2=0

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

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

firstly x+1=0

x=-1

secondly x-2=0

x=2

there is two value of x is (-1,2)