# What is the discriminant of #d^2− 7d + 8 = 0# and what does that mean?

##### 1 Answer

For this quadratic,

#### Explanation:

For a quadratic equation written in the general form

the **determinant** is equal to

Your quadratic looks like this

which means that, in your case,

The determinant for your equation will thus be equal to

When

Because the discriminant is **not a perfect square**, the two roots will be *irrational numbers*.

In your case, these two roots will be