(x-7)^2=4

Jasonbradley

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Jun 17, 2024

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Solving the Equation (x-7)^2 = 4

This equation involves a squared term, which means we'll need to use the square root property to solve for x.

Here's how to solve the equation step by step:

1. Take the square root of both sides:

   √[(x-7)^2] = ±√4

2. Simplify:

   x - 7 = ±2

3. Isolate x by adding 7 to both sides:

   x = 7 ± 2

4. Solve for the two possible solutions:

   • x = 7 + 2 = 9
   • x = 7 - 2 = 5

Therefore, the solutions to the equation (x-7)^2 = 4 are x = 9 and x = 5.

Important Note: Remember to consider both positive and negative square roots when solving equations involving squares.