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

Question

Quizplus · Accepted Answer

To find the complex zeros of the quadratic function $F(x) = x^2 - 8x + 20$, we use the quadratic formula $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$, where $a = 1$, $b = -8$, and $c = 20$. Plugging these values in, we get $x = \frac{8 \pm \sqrt{(-8)^2 - 4(1)(20)}}{2(1)} = \frac{8 \pm \sqrt{64 - 80}}{2} = \frac{8 \pm \sqrt{-16}}{2} = \frac{8 \pm 4i}{2} = 4 \pm 2i$.

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