Problem

Solve $x^{2}=72$, 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."
\[
x=\square
\]
\[
\begin{array}{ll}
\frac{\square}{\square} & \square \frac{\square}{\square} \quad \begin{array}{c}
\text { No } \\
\text { solution }
\end{array} \\
\square, \square, \ldots & \sqrt{\square}
\end{array}
\]

Answer

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Answer

Final Answer: The solutions to the equation \(x^{2}=72\) are \(x=\boxed{8.48528137423857}\) and \(x=\boxed{-8.48528137423857}\).

Steps

Step 1 :The equation is a simple quadratic equation. To solve for x, we need to take the square root of both sides. However, we need to remember that the square root of a number can be both positive and negative. Therefore, there will be two solutions to this equation.

Step 2 :\(x_{1} = \sqrt{72} = 8.48528137423857\)

Step 3 :\(x_{2} = -\sqrt{72} = -8.48528137423857\)

Step 4 :Final Answer: The solutions to the equation \(x^{2}=72\) are \(x=\boxed{8.48528137423857}\) and \(x=\boxed{-8.48528137423857}\).

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