# How to use the discriminant to find out what type of solutions the equation has for #x^2 + 25 = 0#?

##### 2 Answers

The discriminant equals -100. Therefore the equation has 0 solutions.

#### Explanation:

The discriminant is

.

Therefore the discriminant is -100. This means that the equation has 0 solutions.

Discriminant

Discriminant

Discriminant

The solution type for this question is such that it belongs to the 'Complex' number set of values.

The graph does NOT cross the x-axis

#### Explanation:

Consider the standardised form of

The formula is

The determinate is the part

Write the given equation as:

In this case:

So the determinate

so we end up with

As this is negative we have a complex number solution.

That is