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.
-$$29 \mathrm { i } , - 29 \mathrm { i }$$
A) $x ^ { 2 } + 841 = 0$
B) $x ^ { 2 } + 58 + 841 = 0$
C) $x ^ { 2 } - 841 = 0$
D) $x ^ { 2 } - 58 - 841 = 0$

Question

Quizplus · Accepted Answer

The solutions $29i$ and $-29i$ are complex conjugates, so the quadratic equation can be written as $x^2 - (29i + (-29i))x + (29i)(-29i) = 0$, which simplifies to $x^2 + 841 = 0$.

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