Use the discriminant to determine the number and type of solutions of the equation.
-$$x ^ { 2 } + 6 x - 7 = 0$$
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, $a = 1$, $b = 6$, and $c = -7$, so the discriminant is $6^2 - 4(1)(-7) = 36 + 28 = 64$. Since the discriminant is positive, the equation has two real solutions.

Use the Discriminant to Determine the Number and Type of Solutions