# What is the discriminant of #m^2 + m + 1 = 0# and what does that mean?

##### 2 Answers

The discriminant

So

#### Explanation:

This has discriminant

We can conclude that

The roots of

Notice that the discriminant is the part inside the square root. So if

In our case:

The number

It is the primitive cube root of

Notice that

So

The discriminant of

#### Explanation:

Given a quadratic equation (using

The solution (in terms of

The **discriminant** is the portion:

If the **discriminant** is **negative**

**no real solutions**

For the given example

the discriminant,

and therefore