Use the discriminant to determine the number and type of solutions of the equation.
-$4 x ^ { 2 } + 4 x + 1 = 0$
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, $a = 4$, $b = 4$, and $c = 1$, so the discriminant is $4^2 - 4(4)(1) = 16 - 16 = 0$. A discriminant of 0 means the equation has exactly one real solution.

Use the Discriminant to Determine the Number and Type of Solutions