SOLUTION: Solve (finding a least common denominators). x-7/x+2 = 1/4 Thanks in advance for anyone who can help!! :) I can't find a least common denominator.

Question 189707This question is from textbook Prentice Hall Algebra 1
: Solve (finding a least common denominators).
x-7/x+2 = 1/4
Thanks in advance for anyone who can help!! :) I can't find a least common denominator.
This question is from textbook Prentice Hall Algebra 1

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Is the equation ???

Start with the given equation.

Cross multiply

Distribute.

Add to both sides.

Subtract from both sides.

Combine like terms on the left side.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

----------------------------------------------------------------------

Answer:

So the answer is

OR...

Is the equation ????

Start with the given equation.

Multiply EVERY term by the LCD to clear the fractions.

Simplify

Multiply

Distribute

Get everything 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

OR...

Is the equation ????

Start with the given equation.

Multiply EVERY term by the LCD to clear the fractions.

Simplify

Distribute.

Combine like terms on the left side.

Add to both sides.

Subtract from both sides.

Combine like terms on the left side.

Divide both sides by to isolate .

----------------------------------------------------------------------

Answer:

So the answer is which approximates to

.
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