# How do you solve #1/(x+3)+1/(x+5)=1#?

##### 2 Answers

There are two values of

#### Explanation:

Lots of ways to solve this. I'm going to try to do it the easiest way I know how.

First subtract

Now combine the two terms on the right-hand side of the equation.

Simplify the numerator on the right-hand side.

Multiply both sides by

Multiply both sides by

Now expand the right hand side.

Put this quadratic equation in standard form.

Use the quadratic formula to determine

So there are two values of

#### Explanation:

Given:

One way to solve is to eliminate the denominators by multiplying both sides of the equation by the common denominator.

The common denominator =

Distribute and cancel:

:

Add like terms and use FOIL

Subtract

Use the quadratic formula to solve for

where the equation is in the form