Question

Find the root(s) or zero(s) of the function.

Answer 1

-1/2 , 3

Explanation:

In order to find the roots of the function 2x² - 5x - 3

We have to solve the quadratic equation :

2x² - 5x - 3 = 0

Calculating the discriminant Δ :

Δ = b² - 4ac

= (-5)² - 4(2)(-3)

= 25 + 24

= 49

Then

√Δ = √49 = 7

Determining the Zeros :

`x=\frac{-b+\sqrt{b^(2)-4ac} }{2a} = \frac{5+7} {2 * (2)} =(12)/(4) =3`

or

`x=\frac{-b-\sqrt{b^(2)-4ac} }{2a} = \frac{5-7} {2 * (2)} =(-2)/(4) =(-1)/(2)`