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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.
2. Take the Square Root of Both Sides
Remember that when taking the square root of both sides, we must consider both positive and negative solutions:
√((x+9)²) = ±√36
3. Simplify
This simplifies to:
x + 9 = ±6
4. Solve for 'x'
Now we have two separate equations:
- x + 9 = 6
- x + 9 = -6
Solving for 'x' in each equation:
- x = 6 - 9 = -3
- x = -6 - 9 = -15
Solution
Therefore, the solutions to the equation (x+9)² = 36 are x = -3 and x = -15.