SOLUTION: {{{x^2/(x^2-4) = x/(x+2)

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

Question 5190:
Answer by ichudov(507) (Show Source): You can put this solution on YOUR website!

add polynomial fractions

Remove x^2-4 from both sides, being mindful that it cannot be zero, or that x cannot be +2 or - 2.

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=1 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0, -0.25. Here's your graph:

That's your answer. PLEASE double check my work.