Question

2/x^2-5/x+2=0
How do you solve this?

Answer 1

2/x^2 - 5/x + 2 = 0

[multiply both sides with x^2]

2 - 5x +2x^2 = 0

2x^2 -4x -x +2 =0

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

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

x= 2, 1/2