Question

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

Answer 1

The correct answer options are,

A: 0

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

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.