Question

Which of these potential solutions make the equation x2+9=0 true?(1 point)
Responses

{3,−3}
left brace 3 comma negative 3 right brace

{ }
left brace 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 to:

\[
x^2 = -9
\]

To find \( x \), we take the square root of both sides:

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

This gives us:

\[
x = \pm 3i
\]

Thus, the solutions to the equation are \( 3i \) and \( -3i \).

Therefore, the correct response is:

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