Question

Solve the rational equation:. x+3/3x-2 minus x-3/3x+2=44/9x^2-4

Answer 1

x=-1

Explanation:

Answer 2

`(x+3)/(3x-2) - (x-3)/(3x+2) = (44)/(9x^2-4)`

`((x+3)(3x+2) - (x-3)(3x-2))/((3x-2)(3x+2)) = (44)/((3x+2)(3x-2))`


`(x+3)(3x+2) - (x-3)(3x-2) = 44`

`(3x^2 + 11x + 6) - (3x^2 - 11x + 6) = 44`

`22x = 44`

`x = 2`Substituting x = 2 into the original does not give any extraneous solutions, so this is the answer.