Answer:
Step-by-step explanation:
3/(x-2) - 2/(x+3) = 1....multiply everything by (x-2)(x+3)
3/(x-2) * (x-2)(x+3) - 2/(x+3) * (x-2)(x+3) = 1(x-2)(x+3)
3(x+3) - 2(x-2) = 1(x-2)(x+3)
3x + 9 -2x + 4 = (x-2)(x+3)
x + 13 = x^2 + x - 6
x^2 - x + x - 6 - 13 = 0
x^2 - 19 = 0
x^2 = 19....take sq rt of both sides
sqrt(x^2) = sqrt 19
x = sqrt 19 and x = - sqrt 19 <====
