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?

Question

asked Sep 20, 2021 51.9k views

1 Answer

Nico Nekoru · Answer 1 · 2021-09-25T04:16:27+0000

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.