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 [tex]b^2-4ac[/tex]
From the given quadratic equation [tex]x^2+4x+8=0[/tex], we can gather the values of a, b, and c
[tex]a=1\\b=4\\c=8[/tex]
Now, we can put these numbers into our discriminant formula
[tex]b^2-4ac\\\\(4)^2-4(1)(8)\\\\16-32\\\\-16[/tex]
As the result of our discriminant is negative, this quadratic equation will have two complex solutions.
