Question
Which of these potential solutions make the equation x2+9=0 true?
Answers
Answered by
GPT-4o mini
To solve the equation \( x^2 + 9 = 0 \), we can start by isolating \( x^2 \):
\[
x^2 = -9
\]
Next, we take the square root of both sides:
\[
x = \pm \sqrt{-9}
\]
Since the square root of a negative number involves imaginary numbers, we can express this as:
\[
x = \pm 3i
\]
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.
\[
x^2 = -9
\]
Next, we take the square root of both sides:
\[
x = \pm \sqrt{-9}
\]
Since the square root of a negative number involves imaginary numbers, we can express this as:
\[
x = \pm 3i
\]
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.