(x-8)^2=0

Jasonbradley

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Jun 17, 2024

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Solving the Equation (x-8)^2 = 0

This equation represents a simple quadratic equation. Let's break down how to solve it:

Understanding the Equation

The equation (x-8)^2 = 0 indicates that the square of the expression (x-8) equals zero. This means that the expression itself must also be equal to zero.

Solving for x

1. Take the square root of both sides: √((x-8)^2) = √(0)
2. Simplify: This gives us (x-8) = 0.
3. Isolate x: Add 8 to both sides: x - 8 + 8 = 0 + 8
4. Final solution: This results in x = 8.

Conclusion

Therefore, the only solution to the equation (x-8)^2 = 0 is x = 8. This means that the value of x that satisfies the equation is 8.