SOLUTION: x/(x+2) + 2/(x-2) = (-2x+19)/(x^2-4), solve for x (coukd be more than 1 answer)

Question 62144: x/(x+2) + 2/(x-2) = (-2x+19)/(x^2-4), solve for x (coukd be more than 1 answer)
Answer by 303795(602) (Show Source): You can put this solution on YOUR website!
Factorise the expression on the bottom on the right as it is a difference of squares.
Rewrite the problem over the LCD of (x-2)(x+2)
Multiply both sides by the LCD of (x-2)(x+2) to eliminate the fraction part on the bottom.
Multiply out the terms on the left hand side.

Get all terms on one side of the equation
Factorise

So the solutions are x=-5 or x=3
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