# What kind of solutions does #2x^2 + x - 1 = 0# have?

##### 1 Answer

2 real solutions

#### Explanation:

You can use the discriminant to find how many and what kind of solutions this quadratic equation has.

Quadratic equation form:

Discriminant:

Plug 2, 1, and -1 in for a, b, and c (and evaluate):

Negative discriminants indicate that the quadratic function has 2 imaginary (involving

Discriminants of 0 indicate that the quadratic function has 1 real solution. The quadratic function can be factored into the perfect square of something (such as