Question

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?

Answer 1

Answer:

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

Step-by-step 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.