Which of these potential solutions make the equation x2+9=0 true?(1 point) Responses { } left brace right brace {3,−3} left brace 3 comma negative 3 right brace {−3,−3i} left brace negative 3 comma negative 3 i right brace {3i,−3i}

Answer 1

To solve the equation \( x^2 + 9 = 0 \), we can rearrange it as follows:

\[ x^2 = -9 \]

Taking the square root of both sides gives us:

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

This can be expressed using imaginary numbers:

\[ x = \pm 3i \]

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

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

The correct response that makes the equation true is:

\({3i, -3i}\)