# How do you find the value of the discriminant and determine the nature of the roots #2p^2+5p-4#?

##### 1 Answer

Jun 6, 2017

#### Explanation:

Given:

#2p^2+5p-4#

Note that this is written in standard form:

#ap^2+bp+c#

with

The discriminant

#Delta = b^2-4ac#

#color(white)(Delta) = color(blue)(5)^2-4(color(blue)(2))(color(blue)(-4))#

#color(white)(Delta) = 25+32#

#color(white)(Delta) = 57#

Since

The *zeros* of *roots* of the equation:

#2p^2+5p-4 = 0#