In the Quadratic Formula, what is the discriminant? What does the value of the discriminant determine?

Question

In the Quadratic Formula, what is the discriminant? What does the value of the discriminant determine?

Answer 1

The discriminant is b² - 4ac

Discriminant > 0, 2 real zeroes (roots)

Discriminant = 0 1 repeated zero (root)

Discriminant < 0 2 imaginary zeroes