2-%3D-36.jpeg "(x + 5)2 = 36")
Solving the Equation (x + 5)² = 36
This equation involves a squared term, so we'll need to use the square root property to solve for x. Here's how:
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 + 5)² = ±√36
This gives us two possible equations:
- x + 5 = 6
- x + 5 = -6
3. Solve for x in Each Equation
Equation 1:
- x + 5 = 6
- x = 6 - 5
- x = 1
Equation 2:
- x + 5 = -6
- x = -6 - 5
- x = -11
4. Solution
Therefore, the solutions to the equation (x + 5)² = 36 are x = 1 and x = -11.