Question

F(x) = 4x^2-17x+3

PLEASE HELP!

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 ax² + bx + c = 0, the discriminant D is given by:

D = b²-4ac

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) = 4x²-17x+3

D is calculated as 17^2 - 4×4×3 = 241

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