%5E2%3D64.jpeg "(x-5)^2=64")
Solving the Equation (x-5)^2 = 64
This equation involves a squared term, which means we need to take the square root of both sides to solve for x. Here's how to approach it:
1. Isolate the Squared Term
The equation is already in a form where the squared term is isolated: (x-5)^2 = 64
2. Take the Square Root of Both Sides
Taking the square root of both sides gives us: √((x-5)^2) = ±√64
Remember to include both positive and negative square roots.
3. Simplify
Simplifying the equation gives us: (x-5) = ±8
4. Solve for x
We have two possible solutions:
-
x - 5 = 8 Adding 5 to both sides gives: x = 13
-
x - 5 = -8 Adding 5 to both sides gives: x = -3
Conclusion
Therefore, the solutions to the equation (x-5)^2 = 64 are x = 13 and x = -3.