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

##### 2 Answers

Solve 2x^2 + x - 1 = 0

#### Explanation:

This means there are 2 real roots (2 x-intercepts)

The discriminant is

A positive discriminant means that there are two real roots (x-intercepts).

Also, since the discriminant is a perfect square, the two roots are rational.

#### Explanation:

The formula for the discriminant,

A positive discriminant means that there are two real roots (x-intercepts).

Since the discriminant is a perfect square, the two roots are also rational.

Resource:

http://www.regentsprep.org/regents/math/algtrig/ate3/discriminant.htm