(x-1)^2=9

Jasonbradley

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Jun 17, 2024

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Solving the Equation (x - 1)^2 = 9

This article will guide you through the steps of solving the equation (x - 1)^2 = 9.

Understanding the Equation

The equation involves a squared term, (x - 1)^2, which means the expression (x - 1) is multiplied by itself.

Solving for x

1. Take the square root of both sides:

   √(x - 1)^2 = ±√9

   This gives us two possible solutions because the square root of a number can be positive or negative.

2. Simplify:

   x - 1 = ±3

3. Isolate x:

   x = 1 ± 3

4. Solve for the two possible values of x:

   • x = 1 + 3 = 4
   • x = 1 - 3 = -2

Conclusion

Therefore, the solutions to the equation (x - 1)^2 = 9 are x = 4 and x = -2.