%5E2%3D9.jpeg "(x+12)^2=9")
Solving the Equation (x+12)^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 down the solution:
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
To undo the squaring, take the square root of both sides of the equation. Remember that taking the square root results in both a positive and a negative solution.
√((x+12)^2) = ±√9
3. Simplify
Simplify the square roots:
x + 12 = ±3
4. Solve for x
Now we have two separate equations to solve:
- Case 1: x + 12 = 3
- Case 2: x + 12 = -3
Case 1: Subtract 12 from both sides to get: x = -9
Case 2: Subtract 12 from both sides to get: x = -15
5. Solutions
Therefore, the solutions to the equation (x+12)^2 = 9 are x = -9 and x = -15.