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.

Question

Mathematics

Valerie Soto

25 May, 11:30

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.

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Anabella · Answer 1

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