Examine the quadratic equation 9x^2+24x+16=0.
a: what is the discriminant of the quadratic equation?
b: based on the discriminant, which statement about the roots of the quadratic equation is correct?
select one answer choice for question a, and select one answer choice for question b.
a: 120
a: -120
a: 0
b: there is one real root with a multiplicity of 2.
b: there are two real roots.
b: there are two complex roots

The correct answer options are,

A: 0

B: There is one real root with a multiplicity of 2.

Step-by-step explanation:

Discriminant of a quadratic equation ax² + bx + c = 0 is given by,

b² - 4ac

It is given a quadratic equation 9x² + 24x + 16 = 0

To find the discriminant

Here a = 9, b = 24 and c = 16

Discriminant = b² - 4ac

 = 24² - (4 * 9 * 16)

 = 576 - 576

 = 0

The correct options are

A: 0

B: There is one real root with a multiplicity of 2.

it would be:

c.parallelogram.