(x+1)^2=9

Jasonbradley

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Jun 16, 2024

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

This article will guide you through the steps to solve the equation (x+1)^2 = 9.

Understanding the Equation

The equation (x+1)^2 = 9 represents a quadratic equation. This means it involves a variable (x) raised to the power of 2. To solve for x, we need to isolate it.

Steps to Solve

1. Take the square root of both sides: √[(x+1)^2] = ±√9

2. Simplify: x + 1 = ±3

3. Isolate x: x = -1 ± 3

4. Solve for the two possible values of x:

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

Conclusion

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

It is important to remember that when taking the square root of both sides of an equation, we need to consider both positive and negative roots. This is why we have two solutions in this case.