Find the values of a, b, and c for which the quadratic equation $a x ^ { 2 } + b x + c = 0$ 0 has the given numbers as solutions. Then
use those values to write a quadratic equation.
-$4 i , - 4 i$
A) $x ^ { 2 } - 8 - 16 = 0$
B) $x ^ { 2 } - 16 = 0$
C) $x ^ { 2 } + 8 + 16 = 0$
D) $x ^ { 2 } + 16 = 0$

Question

Quizplus · Accepted Answer

The sum of the roots is $0$ (since $4i + (-4i) = 0$), and the product of the roots is $(-4i)(4i) = -16i^2 = 16$ (since $i^2 = -1$). Therefore, the quadratic equation with these roots is $x^2 - 0x + 16 = 0$ or simply $x^2 + 16 = 0$.

Find the Values of A, B, and C for Which ax2+bx+c=0a x ^ { 2 } + b x + c = 0ax2+bx+c=0

Find the Values of A, B, and C for Which $a x ^ { 2 } + b x + c = 0$