%5E2%3D36.jpeg "(x-1)^2=36")
Solving the Equation (x-1)^2 = 36
This equation involves a squared term, so we'll need to use the square root property to solve it. Here's a step-by-step breakdown:
1. Isolate the Squared Term
The squared term is already isolated on the left side of the equation.
2. Take the Square Root of Both Sides
Taking the square root of both sides eliminates the square:
√((x-1)²) = ±√36
3. Simplify
This gives us two possible solutions:
x - 1 = 6 or x - 1 = -6
4. Solve for x
For each equation, add 1 to both sides to isolate x:
- x = 7
- x = -5
Solution
Therefore, the solutions to the equation (x-1)² = 36 are x = 7 and x = -5.