Question

Anderson uses the discriminant to correctly find the number of real solutions of the quadratic equation (1/2)x2 + 4x + 8 = 0. Which explanation could Anderson provide?

a-The equation has no real number solutions because the discriminant is 0.b-The equation has one real number solution because the discriminant is 0.c-The equation has no real number solutions because the discriminant is less than 0. d-The equation has two real number solutions because the discriminant is greater than 0.

Answer 1

the correct answer is

B)The equation has one real number solution because the discriminant is 0.

just took the test.....

Answer 2

The correct answer for the question that is being presented above is this one: "b-The equation has one real number solution because the discriminant is 0."

(1/2)x2 + 4x + 8 = 0
a = 1/2
b = 4
c = 8

x = [ -b +- square root (b2-4ac) ] / 2a
x = [-4 +- square root (4^2 - 4*1/2*8) ] / 2(1/2)
x = -4 +- square root (0) / 2
x = -4 / 2
x = -2