# Question #8950d

##### 2 Answers

#### Explanation:

**To complete the square, your goal is to make a perfect trinomial. For example:**

**To make things easier, let's add some parentheses to the equation.**

**You need to add a constant into the parentheses to create a perfect trinomial. To find this constant, use this formula:**

**The #b# comes from the standard form of a quadratic equation #y=ax^2+bx+c#. In this case, that means your #b# is #-5#.**

**This is where things can get a little confusing. Because you are adding a number on one side of the equation, and not the other side, you need to balance it out on the same side.**

**As you can see, you've created your perfect trinomial while also not unbalancing your equation. Now you can factor and simplify!**

#### Explanation:

To complete the square, we need to find a value that makes

To solve for the missing component, we need to follow these steps:

1) *take the middle term, #-5# and divide by #2#*

2) *square this solution*

Now, let's add this to the equation. **REMEMBER** in an equation, we can add whatever we want, but we must also add it to the *other side*:

Now we have our solution!