(x-1)^2=81

2 min read Jun 17, 2024
(x-1)^2=81

Solving the Equation: (x-1)^2 = 81

This equation presents a simple quadratic equation that we can solve using basic algebraic techniques. Let's break down the steps:

1. Taking the Square Root of Both Sides

Since we have a squared term on the left side, our first step is to get rid of that by taking the square root of both sides:

√[(x-1)^2] = ±√81

Remember that when taking the square root of a number, we need to consider both positive and negative solutions.

2. Simplifying

Simplifying both sides gives us:

x - 1 = ±9

3. Isolating x

To isolate x, we need to add 1 to both sides:

x = 1 ± 9

4. Solving for Both Possibilities

This gives us two possible solutions:

  • x = 1 + 9 = 10
  • x = 1 - 9 = -8

Conclusion

Therefore, the solutions to the equation (x-1)^2 = 81 are x = 10 and x = -8.

Related Post


Featured Posts