Use the discriminant to determine the number and type of solutions of the equation.
-$x ^ { 2 } - 2 x + 1 = 0$
A) one real solution
B) two complex but not real solutions
C) two real 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 $x^2 - 2x + 1 = 0$, the discriminant is $(-2)^2 - 4(1)(1) = 4 - 4 = 0$. A discriminant of 0 indicates that there is exactly one real solution.

Use the Discriminant to Determine the Number and Type of Solutions