# How do you find the value of the discriminant and state the type of solutions given #2p^2+5p-4=0#?

##### 2 Answers

The solutions are

#### Explanation:

Compare this equation to the quadratic equation

The discriminant is

As,

The solutions are

#### Explanation:

One of the ways to see the discriminant is via the quadratic formula:

The discriminant is the

When

When

When

Let's see what we get in our question:

We can see that if we graph the equation:

graph{2x^2+5x-4 [-6.243, 6.243, -3.12, 3.123]}