%5E2%3D9.jpeg "(x+7)^2=9")
Solving the Equation (x+7)² = 9
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 squared term is already isolated on the left side of the equation: (x+7)² = 9
2. Take the Square Root of Both Sides
Remember, when taking the square root of both sides, we need to consider both the positive and negative solutions:
√(x+7)² = ±√9
3. Simplify
This gives us:
x+7 = ±3
4. Solve for x
We now have two separate equations to solve:
-
Equation 1: x + 7 = 3
- Subtract 7 from both sides: x = -4
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Equation 2: x + 7 = -3
- Subtract 7 from both sides: x = -10
Solution
Therefore, the solutions to the equation (x+7)² = 9 are x = -4 and x = -10.