Question

Consider the quadratic equation 2x2 + 3x + 5 = 0.

The discriminant of this quadratic equation is ________ zero.

This means the quadratic equation will have ________ real solution(s) and _______ complex solution(s).

Answer 1

Answer: less then

No

Two distinct

Explanation:

Answer 2

The discriminant of this quadratic equation is less than zero.

This means the quadratic equation will have no real solution(s) and two complex solution(s).

Explanation:

The discriminant is found using the formula b^2 - 4ac.

Therefore, the discriminant is (3)^2 - 4(2)(5), which yields -31.

Since the discriminant is negative, there are no real solutions.