SOLUTION: Please help me solve this equation: x+3/x-5=56-3x/x^2-13x+40

Question 195572This question is from textbook McDougal Littell Algebra 1
: Please help me solve this equation: x+3/x-5=56-3x/x^2-13x+40 This question is from textbook McDougal Littell Algebra 1

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Factor

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

Cancel out and simplify.

FOIL

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

Negate to get .

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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