Question

Find x: 4/x-2 - 1/x-3 = 4/2x+1​

Answer 1

Answer:

x = {-3±√281}/4

Step-by-step explanation:

4/(x-2) - 1/(x-3) = 4/(2x+1)

{4×(x-3) - (x-2)} / (x-2)(x-3) = 4/(2x+1)

(3x - 10)(2x + 1) = 4 ( x² - 5x + 6)

6x²-17x - 10 = 4x² - 20x +24

2x² + 3x - 34 = 0

x = {-3±√(9+272)}/4

x = {-3±√281}/4