Which of these potential solutions make the equation x^2+9=0 true?

Answer 1

To solve the equation \(x^2 + 9 = 0\), we can isolate \(x^2\):

\[ x^2 = -9 \]

Next, we take the square root of both sides. Since we need to take the square root of a negative number, we will encounter imaginary numbers:

\[ x = \pm \sqrt{-9} \]

This simplifies to:

\[ x = \pm 3i \]

Thus, the solutions to the equation \(x^2 + 9 = 0\) are:

\[ x = 3i \quad \text{and} \quad x = -3i \]

These are the values that make the equation true.