Question

2 x minus 3 upon x square - 2 X + 3 is equal to 3 x minus 5 upon x square - 3 x + 5

Answer 1

(2x-3)/x² - 2x+3 = (3x-5)/x² - 3x +5
(2x-3)/x² - 2x+3 = (3x-5)/x² - (3x -5)
(2x-3)-(2x+3)x²=(3x-5)-(3x-5)x²
(3x+5)x² - (2x+3)x² + (2x-3) - (3x-5)=0
x²(3x+5-2x-3) + 2x-3 -3x+5 =0
x²(x+2) +x+2 =0
(x+2) (x²+1)=0
x=-2 or x= sq.root -1
neglecting x= sq.root -1
∴x=-2

Hope this helps you.