Question

How do you find the discriminant of the function `f(x) = 2x^2-6x-3` and determine how many roots the function has?

Answer 1

`Delta = 52`
and this function has two real roots

Explanation:

`Delta = B^2 -4AC`

so we have

`A=2,B=-6,C=-3`

`(-6)^2-4*2*(-2) = 36+16 = 52`

`Delta > 0 "`

and that means we have 2 real roots to this function