# What is the discriminant of #9x^2-6x+1=0# and what does that mean?

##### 1 Answer

For this quadratic, **one** real root (a repeated root).

#### Explanation:

The general form of a quadratic equation looks like this

The **discriminant** of a quadratic equation is defined as

In your case, the equation looks like this

which means that you have

The discriminant will thus be equal to

When the discrimiannt is equal to **zero**, the quadratic will only have **one** distinct real solution, derived from the general form

In your case, the equation has one *distinct* real solution equal to