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(x-5)^2=1

less than a minute read Jun 17, 2024
(x-5)^2=1

Solving the Equation (x-5)^2 = 1

This equation represents a simple quadratic equation in disguise. Here's how to solve for the values of x:

1. Taking the Square Root

  • Begin by taking the square root of both sides of the equation. Remember that taking the square root results in both positive and negative solutions.

    (x - 5) = ±1

2. Isolate x

  • Add 5 to both sides of the equation:

    x = 5 ± 1

3. Solve for the Two Possible Values

  • x = 5 + 1 = 6
  • x = 5 - 1 = 4

Therefore, the solutions to the equation (x-5)^2 = 1 are x = 6 and x = 4.

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