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

Responses

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

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

{ }
left brace right brace

{3,−3}

1 answer

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:

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

This simplifies to:

\[ x = \pm 3i \]

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

Among the given options, the correct solution is:

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

So the answer is:

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