%5E2%3D36.jpeg "(x-9)^2=36")
Solving the Equation (x-9)² = 36
This equation involves a squared term, which means 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 squared term is already isolated on the left side of the equation: (x - 9)² = 36
2. Take the Square Root of Both Sides
Remember, taking the square root of a number results in both a positive and negative value. Therefore, we'll have two possible solutions:
√(x - 9)² = ±√36
3. Simplify
This gives us:
x - 9 = ±6
4. Solve for x
Now, we have two separate equations to solve:
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Case 1: x - 9 = 6 Adding 9 to both sides, we get: x = 15
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Case 2: x - 9 = -6 Adding 9 to both sides, we get: x = 3
Conclusion
Therefore, the solutions to the equation (x - 9)² = 36 are x = 15 and x = 3.