# How do you solve the equation #9x^2+30x+25=11# by completing the square?

##### 1 Answer

Like so:

#### Explanation:

For starters, the

So the first step is to divide both sides by 9, giving:

For me, it makes some of the subsequent steps easier if we subract

Now remember how binomials are squared:

So, if

...and

so, what we do is, add and subtract this to the left side of eq. 1:

...and now the first 3 terms of the left side are a perfect square:

...add

...square root of both sides:

subtract

GOOD LUCK!