%5E2%3D1.jpeg "(8x)^2=1")
Solving the Equation (8x)^2 = 1
This equation involves a square and a constant, making it a straightforward problem to solve. Let's break down the steps:
1. Expanding the Equation
First, we expand the left side of the equation:
(8x)^2 = 64x^2
Now, the equation becomes:
64x^2 = 1
2. Isolating the Variable
To isolate the variable 'x', we divide both sides of the equation by 64:
x^2 = 1/64
3. Taking the Square Root
Next, we take the square root of both sides of the equation:
x = ±√(1/64)
4. Simplifying the Solution
The square root of 1/64 is 1/8. Therefore, we have two possible solutions:
x = 1/8 or x = -1/8
Conclusion
Therefore, the solutions to the equation (8x)^2 = 1 are x = 1/8 and x = -1/8.