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(x-6)^2=16

less than a minute read Jun 17, 2024
(x-6)^2=16

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

  1. Take the square root of both sides: √((x - 6)^2) = ±√16

  2. Simplify: x - 6 = ±4

  3. Isolate x: x = 6 ± 4

  4. 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.

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