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

Solution

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 \(x=\boxed{-8.48528137423857}\).

From Solvely APP
Source: https://solvelyapp.com/problems/jq84oqHAqi/

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