I am working on a math problem $(x^{2} - 6x + 45)$ where I must utilize the "completing the square" method, and was able to break down the problem to $(x-3)^{2} = -36.$
I know I have to take the square roots of both sides getting $x-3$ on the left, but for the right, I know 6 is one of the roots for the square root of -36 but what would be the other? Initially, I thought it would be 6i but that is wrong. What is the other root?
