(x-3)^2=9

Jasonbradley

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Jun 17, 2024

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Solving the Equation (x-3)^2 = 9

This equation involves a squared term, so we'll need to use the square root property to solve for x. Here's how:

1. Take the Square Root of Both Sides

The square root of a squared term is simply the original term. Therefore, we can take the square root of both sides of the equation:

√((x-3)^2) = ±√9

2. Simplify

Simplifying both sides, we get:

x - 3 = ±3

3. Isolate x

To isolate x, we add 3 to both sides of the equation:

x = 3 ± 3

4. Solve for Both Possible Solutions

This gives us two possible solutions:

• x = 3 + 3 = 6
• x = 3 - 3 = 0

Conclusion

Therefore, the solutions to the equation (x-3)^2 = 9 are x = 6 and x = 0.