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?

Question

Mathematics

Lee Herrera

9 February, 05:41

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?

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Answers (1)

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Randy Rangel · 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.