2%3D9-is-equal-to.jpeg "(2x-1)2=9 Is Equal To")
Solving the Equation: (2x - 1)² = 9
This equation involves a squared term, so we'll 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:
√(2x - 1)² = ±√9
2. Simplify:
2x - 1 = ±3
3. Solve for x in two separate cases:
-
Case 1: 2x - 1 = 3
- 2x = 4
- x = 2
-
Case 2: 2x - 1 = -3
- 2x = -2
- x = -1
Therefore, the solutions to the equation (2x - 1)² = 9 are x = 2 and x = -1.