# Week 6 – Using Square Roots to Solve Quadratic Equations

This week I learned how to solve quadratic equations using square roots.

Here is a common question:

This question asked me to solve the equation by completing the square. The first thing you need to do in this question is make it a square. You figure out the square by chopping the middle term in half $\frac{5}{2}$ then square it $\frac{25}{4}$. You add $\frac{25}{4}$ into the equation by making it a zero pair. Then you can solve for x by simplifying the part of the equation that is in brackets to $(x+5/2)^{2}$ and add together the part not in brackets to get $\frac{-37}{4}$. After you have done this you move $\frac{37}{4}$ to the other side of the equation and square root the whole thing. Then you can move $\frac{5}{2}$ to the other side. Once you have done this you have simplified for x.