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

Answer 1

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

\[ x^2 = -9 \]

Next, we take the square root of both sides. Remember that the square root of a negative number will involve the imaginary unit \(i\):

\[ x = \pm \sqrt{-9} = \pm \sqrt{9}i = \pm 3i \]

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

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

Looking at the options provided, the correct answer is:

\[ {3i, -3i} \]