%5E2%3D16.jpeg "(x+5)^2=16")
Solving the Equation (x+5)² = 16
This equation involves a squared term, which means we need to use the square root property to solve it. Here's how to break it down:
1. Take the Square Root of Both Sides
The square root property states that if two quantities are equal, their square roots are also equal. Applying this to our equation:
√((x+5)²) = ±√16
2. Simplify the Equation
This simplifies to:
x + 5 = ±4
3. Isolate the Variable
To isolate x, subtract 5 from both sides:
x = -5 ± 4
4. Solve for Two Possible Values
This gives us two possible solutions:
- x = -5 + 4 = -1
- x = -5 - 4 = -9
Conclusion
Therefore, the solutions to the equation (x+5)² = 16 are x = -1 and x = -9.