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

Question

Quizplus · Accepted Answer

The solutions $2i$ and $-2i$ are complex conjugates, so the quadratic equation can be formed by setting $(x - 2i)(x + 2i) = 0$. Expanding this gives $x^2 - (2i)^2 = x^2 + 4 = 0$, which matches option D.

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 $a x ^ { 2 } + b x + c = 0$