Question

Find the discriminant for each quadratic function below. Then list the number of zeros/solutions for each quadratic function.

1) 4x^2+10x-16=0
Discriminant________
Number of Zeros__________

2) -16x^2-7x+3=0
Discriminant_______
Number of zeros_________​

Answer 1

Explanation:

The discriminant is found in

`b^2-4ac` which is part of the quadratic formula. In

`4x^2+10x-16=0`, a = 4, b = 10, c = -16. Filling in for the discriminant:

`10^2-4(4)(-16)=100+256=356`

It's positive so we know we have real roots; it's not a perfect square, so our solutions are 2 complex rational.

In
`-16x^2-7x+3=0`, a = -16, b = -7, c = 3. Filling in for the discriminant:

`(-7)^2-4(-16)(3)=49+192=241`

It's positive and not a perfect square so the 2 solutions are complex rational