(2x-3)^2=81 Find X

less than a minute read Jun 16, 2024

Solving the Equation (2x-3)² = 81

This equation involves a squared term, so we'll need to use the square root property to solve for 'x'. Here's how to break it down:

1. Isolate the Squared Term

The equation is already in a form where the squared term is isolated: (2x-3)² = 81

2. Take the Square Root of Both Sides

Remember that taking the square root introduces both positive and negative solutions: √(2x-3)² = ±√81

3. Simplify

This simplifies to: 2x-3 = ±9

4. Solve for x

Now we have two separate equations to solve:

Case 1: 2x-3 = 9 2x = 12 x = 6

Case 2: 2x-3 = -9 2x = -6 x = -3

Therefore, the solutions to the equation (2x-3)² = 81 are x = 6 and x = -3.