# How do you solve # 5/(x+9) + 11 /( x+2) =9 /( x ^2 + 11x + 18)#?

##### 1 Answer

Oct 9, 2015

Solution:

#### Explanation:

First of all, compute the GCD in the first member:

Simplifying the numerator, we obtain

Simplifying the denominator, we obtain

So, our equation becomes

Since the denominators are equal, the equality holds if and only if it holds between the numerators, i.e.

**P.S.**: the denominator(s) are zero for