%5E2%3D64.jpeg "(x+3)^2=64")
Solving the Equation (x+3)^2 = 64
This equation involves a squared term, so we'll need to use the square root property to solve for x.
Here's a step-by-step breakdown:
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 gives us:
√((x+3)²) = ±√64
This leads to:
x + 3 = ±8
3. Solve for x
Now we have two separate equations to solve:
- x + 3 = 8 Subtracting 3 from both sides gives us: x = 5
- x + 3 = -8 Subtracting 3 from both sides gives us: x = -11
Solution
Therefore, the solutions to the equation (x+3)² = 64 are x = 5 and x = -11.