Question

Mattie uses the discriminant to determine the number of zeros the quadratic equation 0 = 3x2 – 7x + 4 has. Which bestdescribes the discriminant and the number of zeros?

Answer 1

• Discriminant Formula: b² - 4ac, with a = x^2 coefficient, b = x coefficient, and c = constant

So firstly, using our equation plug in the values into the discriminant formula and solve as such:

(-7)² - 4 × 3 × 4

49 - 48

1

So our discriminant is 1. Since 1 is positive and a perfect square, this means that there are 2 real, rational solutions.