SOLUTION: Solve for x: 5/(x+1) + 4/3 =(x+1)/(x-1)

Question 177043: Solve for x: 5/(x+1) + 4/3 =(x+1)/(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 by the LCD to clear the fractions.

Multiply

FOIL

Distribute

Combine like terms.

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 answers are or
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