Question

Consider the quadratic function, f(x)=-2x^2+12x+32=0. Select all statements that are true for the function. The value of the discriminant is -112. The value of the discriminant is 20. The value of the discriminant is 400. The function has 1 real solution. The function has 2 real solutions. The function has 2 complex solutions.

Answer 1

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Answer 2

Explanation:

-2x² + 12x + 32 = 0

discriminant = 12² - 4(-2)(32) = 400

positive discriminant means there are two distinct real roots

x = [-12 ± √(12² – 4(-2)·32)] / [2·(-2)]

 = [-12 ± √400] / (-4)

 = [-12 ± 20] /(-4)

 = 8, -2