# Question #a3836

##### 2 Answers

#### Explanation:

The roots of

Q: Factorize:

A:

#### Explanation:

**Factorise by completing the square;**

*1) Convert to a monic quadratic function by dividing both sides of the equality by #-2#*

*2) Add 13 to both sides*

*3) Add the square of half of the #x# term #11/2# (which is #11/4#) to both sides*

*4) Combine the like terms on the left of the equality*

*5) What we have been trying to do is create a perfect square on the right hand side of the equality. Now it is time to factorise that perfect square.*

*6) Now we are going to move all of the stuff on the left of the equality back to the right (barring the #y# variable of course)*

*7) Multiplying the #-2# into the brackets will give us our final answer*

I hope that helps :)

Harold