How many solutions would the equation x2=−9

Question

have? You do not need to solve for x.(1 point)
The equation would have
solution(s).

Answer 1

The equation \( x^2 = -9 \) has no real solutions because the square of a real number cannot be negative. However, if we consider complex numbers, the solutions would be \( x = 3i \) and \( x = -3i \).

So, the equation has 2 complex solutions but 0 real solutions.

In brief, the equation would have 2 complex solution(s).