Question

Use the quadratic equation x2+8x−4=0 to answer the questions.

A: What is the discriminant of the quadratic equation?

B: Based on the discriminant, which statement about the number and type of solutions to the equation is correct?

Select one answer for question A, and select one answer for question B.

A: 48
A: 0
A: −48
A: 80
B: The equation has two complex solutions.
B: The equation has two real solutions.
B: The equation has one repeated real solution.

Answer 1

Explanation:

from the quadratic equation,

a = 1

b = 8

c = -4

the dicriminant (D) is calculated using the formula

D =
`b^(2)` - 4ac

D = (8)^2 - (4 x 1 x -4)

D = 64 - (-16)

D = 64 +16 = 80