Question

Solve for x 1/x+2/2x-3=1/x-2​

Answer 1

Answer:

$x = 1$

Step-by-step explanation:

$= > \frac{1}{x} + \frac{2}{2x - 3} = \frac{1}{x - 2} \\ = > \frac{2x - 3 + 2x}{x(2x - 3)} = \frac{1}{x - 2} \\ = > \frac{ 4x- 3}{ {2x}^{2} - 3x} = \frac{1}{x - 2} \\ = > 4{x}^2 -11x + 6 = 2 {x}^{2} - 3x \\ = > 0 = 2 {x}^{2}-8x+6 \\ = > 0= (x-3)(2x-2) \\ = > x=3, x=1$

But we neglect 3 as lhs and rhs are not equal.

Therefore the correct answer is 1.

Hope you have got it