Identify Equation: Identify the equation to solve. The equation given is x^(2) = 64. We need to find the value(s) of x that when squared equals 64.Take Square Root: Take the square root of both sides of the equation. To solve for x, we take the square root of both sides of the equation. This will give us two possible solutions for x because the square root of a positive number has both a positive and negative solution. √(x^(2)) = ±√64Calculate Square Root: Calculate the square root of 64. The square root of 64 is 8. Therefore, we have: x = ±8Write Solutions: Write down the two possible solutions for x. The equation x^(2) = 64 has two solutions: x = 8 and x = -8.

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$x^{2}=64$

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x^{2}=64

Identify Equation: Identify the equation to solve. $\newline$ The equation given is $x^{2} = 64$ . We need to find the value(s) of $x$ that when squared equals $64$ .
Take Square Root: Take the square root of both sides of the equation. $\newline$ To solve for $x$ , we take the square root of both sides of the equation. This will give us two possible solutions for $x$ because the square root of a positive number has both a positive and negative solution. $\newline$ $\sqrt{x^{2}} = \pm\sqrt{64}$
Calculate Square Root: Calculate the square root of $64$ . The square root of $64$ is $8$ . Therefore, we have: $x = \pm 8$
Write Solutions: Write down the two possible solutions for $x$ . The equation $x^{2} = 64$ has two solutions: $x = 8$ and $x = -8$ .