Use the discriminant to determine the number and type of solutions of the equation.
-$$x ^ { 2 } - 12 x + 36 = 0$$
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 given equation, $a = 1$, $b = -12$, and $c = 36$. Thus, the discriminant is $(-12)^2 - 4(1)(36) = 144 - 144 = 0$. A discriminant of 0 indicates that there is exactly one real solution.

Use the Discriminant to Determine the Number and Type of Solutions