# How do you find the discriminant, describe the number and type of root, and find the exact solution using the quadratic formula given #2x-5=-x^2#?

##### 1 Answer

Jun 3, 2017

Roots are

#### Explanation:

For an equation **discriminant is**

and quadratic formula gives roots as

Note that if

if

if

if

Here we have

and as

and hence roots are irrational and conjugate.

These are