2-%3D-64.jpeg "(x + 3)2 = 64")
Solving the Equation (x + 3)2 = 64
This equation involves a squared term and a constant. Here's how to solve for x:
1. Isolate the squared term
- Take the square root of both sides: √((x + 3)2) = ±√64
- This simplifies to: x + 3 = ±8
2. Solve for x
- Case 1: x + 3 = 8
- Subtract 3 from both sides: x = 5
- Case 2: x + 3 = -8
- Subtract 3 from both sides: x = -11
Solution
Therefore, the solutions to the equation (x + 3)2 = 64 are x = 5 and x = -11.