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 what can you infer about the number and type of solution?

Answer 1

A: 80 B: The discriminant is positive, which means that the equation has two distinct real number solutions.

Explanation:

The discriminant is the part under the square root in the quadratic formula, b^2-4ac. [(8)^2]-[4(1)(-4)] = 64-(-16) = 80.