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Solving the Equation (x - 6)^2 = 16
This article will guide you through the steps to solve the equation (x - 6)^2 = 16.
Understanding the Equation
The equation (x - 6)^2 = 16 represents a quadratic equation. We need to find the values of 'x' that satisfy this equation.
Solving for x
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Take the square root of both sides: √((x - 6)^2) = ±√16
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Simplify: x - 6 = ±4
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Isolate x: x = 6 ± 4
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Calculate the two possible solutions:
- x = 6 + 4 = 10
- x = 6 - 4 = 2
Conclusion
Therefore, the solutions to the equation (x - 6)^2 = 16 are x = 10 and x = 2.
Important Note: Remember to consider both the positive and negative square roots when solving equations involving squares.