To express the solutions of the equation \( x^2 = 18 \) using set notation, we first find the solutions:
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Taking the square root of both sides gives us: \[ x = \sqrt{18} \quad \text{or} \quad x = -\sqrt{18} \]
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We can simplify \(\sqrt{18}\) to \(3\sqrt{2}\). Therefore, the solutions are: \[ x = 3\sqrt{2} \quad \text{and} \quad x = -3\sqrt{2} \]
So the two solutions in numerical form are approximately: \[ x \approx 4.24 \quad \text{and} \quad x \approx -4.24 \]
However, you mentioned that both -6 and 6 are solutions, which does not correlate with \(x^2 = 18\).
Given the potential context confusion, if you are referring specifically to the solutions \({-3\sqrt{2}, 3\sqrt{2}}\), the correct set notation would be:
\[ { -3\sqrt{2}, 3\sqrt{2} } \]
In decimal form, that would represent:
\[ { -4.24, 4.24 } \]
Just to clarify, if you meant to refer to \( x^2 = 36 \) giving \( x = -6 \) and \( x = 6 \), then the set would be:
\[ {-6, 6} \]
Please confirm which equation you are using for further clarification.