Use the discriminant to determine the number of real solutions of the equation.
-$w^{2}-2 w+7=0$
A) 2
B) 1
C) No 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 equation $w^2 - 2w + 7 = 0$, $a = 1$, $b = -2$, and $c = 7$. The discriminant is $(-2)^2 - 4(1)(7) = 4 - 28 = -24$. Since the discriminant is negative, there are no real solutions.

Use the Discriminant to Determine the Number of Real Solutions w2−2w+7=0w^{2}-2 w+7=0w2−2w+7=0

Use the Discriminant to Determine the Number of Real Solutions $w^{2}-2 w+7=0$