# How do you find the discriminant for #0.2x^2-1.5x+2.9=0# and determine the number and type of solutions?

##### 1 Answer

May 15, 2017

see explanation

#### Explanation:

To find the discriminant of an equation,

first, you must make the equation into the form of

And the discriminant will be

if the discriminant =0,then the equation has two equal real roots

if the discriminant >0,the the equation will have two different real roots

if the discriminant < 0, the the equation will have no real roots.

so based on the given equation

we can write out that

discriminant=

=-0.07

because the discriminant of the equation is < 0

so we can tell that the equation has no real roots.