# How do you find the nature of the roots using the discriminant given #5 - 7x^2 + 2x = 0#?

##### 1 Answer

May 11, 2017

Because the discriminant is 144>0, there are two real roots.

#### Explanation:

First, rewrite the formula in standard form,

Note that

The discriminant is given as

- If
#b^2-4ac=0# , then there is one solution. - If
#b^2-4ac>0# , then there are two solutions. - If If
#b^2-4ac<0# , then there are no real solutions.

Plugging

Because the discriminant is 144>0, there are two solutions. The parabola has roots on the

graph{y=-7x^2+2x+5 [-1.3, 1.5, -2, 5.5]}