Solve 3xx 2 6x 2 24x2 4Solution3xx2 6x2 24x2 4 Divide

Solution

3x/(x+2) + 6/(x-2) = 24/(x^2 -4)

Divide entire equation by 3:

x/(x+2) +2/(x-2) = 8/(x^2 -4)

Taking (x+2)(x-2) as lcd on RHS:

{x(x-2) +2(x+2)}/(x^2 -4) = 8/(x^2 -4)

(x^2 +4)/(x^2 -4) = 8/(x^2 -4)

(x^2 -4) gets cancelled on both sides:

x^2 +4 =8

x^2 - 4 =0

x = +2/ - 2