Find the complex zeros of the quadratic function.
-$$F ( x ) = x ^ { 2 } - 8 x + 20$$
A) $x = 8 \pm 4 i$
B) $x = 4 \pm 2 i$
C) $x = - 4 \pm 2 i$
D) $x = 6 , x = 2$

Question

Quizplus · Accepted Answer

The quadratic formula $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ is used. Here, $a = 1$, $b = -8$, $c = 20$. The discriminant $b^2 - 4ac = 64 - 80 = -16$, leading to complex roots $x = \frac{8 \pm \sqrt{-16}}{2} = 4 \pm 2i$.

Find the Complex Zeros of the Quadratic Function F(x)=x2−8x+20F ( x ) = x ^ { 2 } - 8 x + 20F(x)=x2−8x+20

Find the Complex Zeros of the Quadratic Function $F ( x ) = x ^ { 2 } - 8 x + 20$