Monique and Christian are each trying to solve the equation a² + 6x + 12 = 0. They know that the solutions to x² = -1 are i and -i, but they are
not sure how to use this information to solve for x in their equation.
Christian chose instead to use a Complete the Square technique to solve the equation. Here is his work so far:
2² + 6x +12=0
x² + 6x = -12
2² + 6x +9= -12 +9
(x+3)² = -3
Show how Christian can finish his work using complex numbers. As a reminder, his last step before requiring assistance is:
(x+3)² = -3
Be sure to show ALL steps that lead to your final solution set!