Question

how do i solve 3(y-7)^2=-12

Answer 1

Are you sure that it is equal to -12?

Because you won't have any real solutions if so. the square of any number will always come out positive. Unless we're solving for imaginary solutions.

Divide both sides by 3
Take the square root of both sides. Remember when you take the sqrt, you will get a plus or minus. Sqrt(16) = plus or minus 4.
And then add 7 on both sides. :P

Answer 2

I believe this problem is dealing with complex numbers. I got y=7+-i (y=7+i, y=7-i).