%5E2%3D49.jpeg "(x+2)^2=49")
Solving the Equation (x+2)^2 = 49
This equation involves a squared term, which means we'll need to use the square root property to solve for x. Here's a step-by-step guide:
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 of the equation gives us:
√(x+2)^2 = ±√49
Remember that when we take the square root, we need to consider both positive and negative solutions.
3. Simplify
This simplifies to:
x + 2 = ±7
4. Solve for x
Now we have two separate equations to solve:
- Case 1: x + 2 = 7
- Subtracting 2 from both sides gives: x = 5
- Case 2: x + 2 = -7
- Subtracting 2 from both sides gives: x = -9
Solutions
Therefore, the solutions to the equation (x+2)^2 = 49 are x = 5 and x = -9.