SOLUTION: 2/x+1 + 6 = 3/x-1

Question 150890: 2/x+1 + 6 = 3/x-1
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

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

Simplify.

FOIL.

Distribute.

Subtract 3x from both sides. Subtract 3 from both sides.

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

Negate to get .

Square to get .

Multiply to get

Rewrite as

Add to to get

Multiply and to get .

or Break up the expression.

So our answers are or

which approximate to or
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