Question

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

Answer 1

Answer:

Step-by-step 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