The equation \( x^2 = -9 \) has no real solutions. This is because the square of any real number is non-negative, and hence cannot equal a negative number like -9.
However, if we consider complex numbers, we can express the solutions using imaginary numbers. Specifically, the solutions to the equation would be \( x = 3i \) and \( x = -3i \).
In total, the equation has 2 complex solutions.
So, the equation would have 2 solutions.