%5E2%3D81.jpeg "(x-5)^2=81")
Solving the Equation (x-5)² = 81
This article will guide you through solving the equation (x-5)² = 81.
Understanding the Equation
The equation presents a squared term, indicating we need to find the values of 'x' that satisfy the equation. We can approach this by applying the square root property.
Solving for x
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Take the square root of both sides: √(x-5)² = ±√81
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Simplify: x - 5 = ±9
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Isolate x: x = 5 ± 9
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Solve for the two possible values:
- x = 5 + 9 = 14
- x = 5 - 9 = -4
Conclusion
Therefore, the solutions to the equation (x-5)² = 81 are x = 14 and x = -4. These values, when substituted back into the original equation, will make the equation true.