Question 9 Solve \( x^{2}=54 \), where \( x \) is a real number. Simplify your answer as much as possible. If there is more than one solution, separate them with commas. If there is no solution, click "No solution. \( x=\square \)

To solve \( x^{2}=54 \), we start by taking the square root of both sides. This gives us: \[ x = \sqrt{54} \quad \text{or} \quad x = -\sqrt{54} \] Next, we can simplify \( \sqrt{54} \). Since \( 54 = 9 \times 6 \), we can write: \[ \sqrt{54} = \sqrt{9 \times 6} = \sqrt{9} \times \sqrt{6} = 3\sqrt{6} \] Thus, the solutions to the equation are: \[ x = 3\sqrt{6}, \quad x = -3\sqrt{6} \] So, simplifying our answer gives: \( x = 3\sqrt{6}, -3\sqrt{6} \)