To solve the equation \( x^2 = 81 \) using inspection, we are looking for values of \( x \) that when squared equal 81.
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Take the square root of both sides: \[ x = \sqrt{81} \]
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Calculate the square root: \[ \sqrt{81} = 9 \] Since we are looking for all possible solutions, we also consider the negative root: \[ x = -\sqrt{81} = -9 \]
Therefore, the complete solution to the equation \( x^2 = 81 \) is: \[ x = 9 \quad \text{or} \quad x = -9 \]
In summary, the complete solution is: \[ x = 9 \quad \text{and} \quad x = -9 \]
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