(x+7)^2=81

Jasonbradley

less than a minute read

·

Jun 17, 2024

10

Share

Solving the Equation (x + 7)² = 81

This equation represents a quadratic equation, meaning it has a highest power of 2. Here's how to solve it:

Understanding the Equation

The equation (x + 7)² = 81 represents a situation where a quantity (x + 7) is squared and results in 81. To solve for 'x', we need to isolate it.

Steps to Solve:

1. Take the square root of both sides: √(x + 7)² = ±√81

2. Simplify: x + 7 = ±9

3. Solve for x:

   • x + 7 = 9 => x = 2
   • x + 7 = -9 => x = -16

Conclusion

Therefore, the solutions to the equation (x + 7)² = 81 are x = 2 and x = -16. These represent the two values of x that satisfy the original equation.