Use the discriminant to determine the number and nature of the solutions to the quadratic equation. Do not solve the
equation.
-$$x ^ { 2 } + 10 x + 25 = 0$$
A)two real solutions
B)exactly one real solution
C)two nonreal solutions

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, $a = 1$, $b = 10$, and $c = 25$, so the discriminant is $10^2 - 4(1)(25) = 100 - 100 = 0$. A discriminant of 0 indicates that there is exactly one real solution.

Use the Discriminant to Determine the Number and Nature of the Solutions