Use the discriminant to determine the number and type of solutions of the equation.
-$$25 x ^ { 2 } - 10 x + 1 = 0$$
A) Two complex but not real solutions
B) Two 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 $25x^2 - 10x + 1 = 0$, $a = 25$, $b = -10$, and $c = 1$. The discriminant is $(-10)^2 - 4(25)(1) = 100 - 100 = 0$. A discriminant of 0 indicates there is exactly one real solution.

Use the Discriminant to Determine the Number and Type of Solutions