For the given quadratic equation, use the discriminant to determine the number and type of solutions.
-$x^{2}+4 x+7=0$
A) Two nonreal complex
B) One real
C) Two real

Question

Quizplus · Accepted Answer

The discriminant of a quadratic equation $ax^2 + bx + c = 0$ is given by $D = b^2 - 4ac$. For the equation $x^2 + 4x + 7 = 0$, $D = 4^2 - 4(1)(7) = 16 - 28 = -12$, which is less than 0, indicating two nonreal complex solutions.

For the Given Quadratic Equation, Use the Discriminant to Determine x2+4x+7=0x^{2}+4 x+7=0x2+4x+7=0

For the Given Quadratic Equation, Use the Discriminant to Determine $x^{2}+4 x+7=0$