Question

F(x) = 4x² - 17x +3

What is the value of the discriminant of f?
How many distinct real number zeros does f have?

Answer 1

241

Two zeros.

Explanation:

In the general form
`ax^2 + bx + c = 0`, the discriminant D is given by:

`D = b^2-4ac`

If
`D < 0`, there are no real solutions

If
`D=0`, there is one solution

If
`D > 0`, there are two solutions

For
`f(x) = 4x^2-17x+3`

D is calculated as
`17^2 - 4*4*3 = 241`

Since 241 is larger than zero, there are two solutions.

Answer 2

8

Explanation:

you 17 plus square root 241