To solve the equation \((x - 7)^2 = 9\), we can take the square root of both sides. Remember to consider both the positive and negative square roots:
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Take the square root of both sides: \[ x - 7 = 3 \quad \text{or} \quad x - 7 = -3 \]
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Solve each equation separately:
For \(x - 7 = 3\): \[ x = 3 + 7 = 10 \]
For \(x - 7 = -3\): \[ x = -3 + 7 = 4 \]
So the solutions to the equation \((x - 7)^2 = 9\) are: \[ x = 10 \quad \text{and} \quad x = 4 \]
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