# How do you find the value of the discriminant and determine the nature of the roots #8x^2 – 2x – 18 = -15 #?

##### 2 Answers

The discriminant of the second degree equation

and the solutions depend on whether the two values

#### Explanation:

The given equation in the standard form

Then,

the value of the discriminant is 100, so the two values of the square root are real, and there are two real solutions to the equation.

There are 2 real roots which are irrational and distinct (different)

#### Explanation:

Make the quadratic equation = 0.

The discriminant is given by

What does this value of 105 tell us?

There are 2 real roots which are irrational and distinct (different)