# How do you show that one of the roots of #x^2+ax+b=0# is #a#, if and only if #b=0#?

##### 1 Answer

Mar 27, 2018

#### Answer:

First of all, the root would be

#### Explanation:

Let's write out the quadratic formula first:

This assumes the equation looks like:

Filling out the equation:

Now, if