Without solving, determine the character of the solutions of the equation.
-$$x ^ { 2 } - 6 x + 5 = 0$$
A) two unequal real solutions
B) two complex solutions that are conjugates of each other
C) a repeated real solution

Question

Quizplus · Accepted Answer

The discriminant of the quadratic equation $ax^2 + bx + c = 0$ is given by $D = b^2 - 4ac$. For the given equation, $a = 1$, $b = -6$, and $c = 5$, so $D = (-6)^2 - 4(1)(5) = 36 - 20 = 16$. Since $D > 0$, the equation has two unequal real solutions.

Without Solving, Determine the Character of the Solutions of the Equation