Question

# Use the quadratic formula to solve for the "solutions", or "zeros" of the equation. Did you get 2 real answers, I real answer, or 2 imaginary answers? Show your work F(x) =3x^2 - 40x + 180

Answer

The quadratic equation has two complex roots.

- Q:What's the quadratic equation formula? A: The quadratic equation formula is x = [-b +/- sqrt(b^2 - 4ac)] / 2a.
- Q: What are the coefficients a, b, and c for F(x) =3x^2 - 40x + 180? A: a = 3, b = -40, c = 180.
- Q: What is the discriminant (b^2 - 4ac)? A: (-40)^2 - 4(3)(180) = 1600 - 2160 = -560.
- Q: Is the discriminant positive, negative or zero? A: The discriminant is negative.
- Q: What does a negative discriminant mean? A: A negative discriminant means that the quadratic equation has two complex roots.
- Q: What are the complex roots of F(x) =3x^2 - 40x + 180? A: x = (40 +/- sqrt(-560)) / 6.