I chose to do this because it looks like it will be very useful down the line.

So far, we have learned two ways to solve quadratic equations, by factoring and completing the perfect square. This time, we learned another method.

All in all, the formula is not that complicated, you just need to have the equation in general quadratic equation form so you can put the values in the formula. The general form of a quadratic equation is .

The quadratic formula uses this form, with it having the formula

Let us solve an example,

You might notice that it doesn’t factor normally very easily, so the best approach would be using the quadratic formula (or completing the square).

By looking at this, we can see that a=3, b=7, and c=1.

Putting this into the formula:

Now, we do algebra as normal. Simplify to

Since the radical can’t be simplified to a mixed and there is no common factors, this would be the final exact value answer.