Use the discriminant to determine the number and type of solutions of the equation.
-$$x ^ { 2 } - 8 = 0$$
A) Two real solutions
B) Two complex but not real solutions
C) One real solution

Question

Quizplus · Accepted Answer

The discriminant of a quadratic equation $ax^2 + bx + c = 0$ is given by $b^2 - 4ac$. For the equation $x^2 - 8 = 0$, $a = 1$, $b = 0$, and $c = -8$, so the discriminant is $0^2 - 4(1)(-8) = 32$. Since the discriminant is positive, the equation has two real solutions.

Use the Discriminant to Determine the Number and Type of Solutions