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

User Fmatar
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Answer:

As the result of our discriminant is negative, this quadratic equation will have two complex solutions.

Explanation:

Recall that the formula for a discriminant is
b^2-4ac

From the given quadratic equation
x^2+4x+8=0, we can gather the values of a, b, and c


a=1\\b=4\\c=8

Now, we can put these numbers into our discriminant formula


b^2-4ac\\\\(4)^2-4(1)(8)\\\\16-32\\\\-16

As the result of our discriminant is negative, this quadratic equation will have two complex solutions.

User Nico Nekoru
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