How many solutions would the equation x2=−9

𝑥
2
=

9
have? You do not need to solve for x.(1 point)
The equation would have solution(s).

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

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.