Question

problem of quadratic equation

Answer 1

Hi,

4/x - 1  -  5/x + 2 = 3/x

(4x + 8 - 5x + 5)/x² + 2x -x - 2 = 3/x

(13 - x)/x² + x - 2 = 3/x

13x - x² = 3x² + 3x - 6

10x + 6 = 4x²

4x² - 10x - 6 = 0

Taking 2 as common
2(2x² - 5x - 3) = 0

2x² - 5x - 3 = 0

2x² - 6x + x - 3 = 0

2x(x - 3) + 1 (x - 3) = 0

(x - 3) (2x + 1) = 0

x = 3 or x = - 1/2

I hope I have cleared ur doubt