(x+5)^2=64

Jasonbradley

less than a minute read

·

Jun 17, 2024

10

Share

Solving the Equation (x+5)^2 = 64

This article will guide you through the steps of solving the equation (x+5)^2 = 64.

Understanding the Equation

The equation represents a quadratic expression. We have a term squared, which is (x+5), and it's set equal to a constant, 64. To solve for 'x', we need to isolate it.

Steps to Solve

1. Take the square root of both sides: √(x+5)² = ±√64

2. Simplify: x+5 = ±8

3. Isolate 'x' by subtracting 5 from both sides: x = -5 ± 8

4. Solve for the two possible values of 'x':

   • x = -5 + 8 = 3
   • x = -5 - 8 = -13

Conclusion

Therefore, the solutions to the equation (x+5)² = 64 are x = 3 and x = -13.