SOLUTION: 1/x+2 +1/2=1/x-2

SOLUTION: 1/x+2 +1/2=1/x-2 - 2x/x^2-4

Question 151209: 1/x+2 +1/2=1/x-2 - 2x/x^2-4
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Factor to get

Multiply every term on both sides by the LCD . Doing this will eliminate all of the fractions.

Simplify

FOIL

Distribute

Get all terms to the left side.

Combine like terms.

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for x

Start with the quadratic formula

Plug in , , and

Square to get .

Multiply to get

Rewrite as

Add to to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the possible answers are or

However, if you plug in , you'll get a denominator of 0. So the only answer is

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