SOLUTION: solve each equations. indicate the lower comon demominator. 4+3/x+2=4/x^2+2x

Question 165095: solve each equations. indicate the lower comon demominator.
4+3/x+2=4/x^2+2x
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Factor to get

So the LCD is

Multiply EVERY term by the LCD to clear the fractions.

Simplify.

Distribute.

Subtract 4 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

Square to get .

Multiply to get

Rewrite as

Add to to get

Multiply and to get .

or Break up the expression.

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Answer:

So the solutions are or

which approximate to or