Question

How many solutions would the equation x2=−9
𝑥
2
=
−
9
have? You do not need to solve for x.(1 point)

Answer 1

The equation \( x^2 = -9 \) does not have any real solutions because the square of any real number is non-negative, meaning \( x^2 \) cannot equal a negative number.

However, if we consider complex numbers, we can find solutions. Specifically, the solutions in the complex number system would be \( x = 3i \) and \( x = -3i \).

So, to summarize:
- The equation has **0 real solutions**.
- The equation has **2 complex solutions**.

If the question is purely about solutions in the real number system, the answer is **0**.