Question

Solve it
3/x-1 - 2/x+3 = 1/2
​

Answer 1

Answer:

x = 5

Step-by-step explanation:

3/x-1 - 2/x+3 = 1/2

Taking LCM,

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

=> (3x + 9 -2x + 2)/(x^2 + 2x - 3) = 1/2

=> (x+11)/(x^2 + 2x - 3) = 1/2

=> 2x + 22 = (x^2 + 2x - 3)*1

=> 2x + 22 = x^2 + 2x - 3

=> x^2 - 25 =0

=> x^2 = 25

=> x = √25

=> x = 5