(x-5)^2=36 Square Root

Jasonbradley

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Jun 17, 2024

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Solving for x in (x-5)² = 36

This problem involves solving a quadratic equation. Here's how to approach it:

1. Take the Square Root of Both Sides

The first step is to get rid of the square on the left side of the equation. We do this by taking the square root of both sides:

√(x-5)² = ±√36

This gives us:

x - 5 = ±6

2. Isolate x

Now, we need to isolate x. To do this, add 5 to both sides of the equation:

x = 5 ± 6

3. Solve for the Two Possible Values of x

This gives us two possible solutions:

• x = 5 + 6 = 11
• x = 5 - 6 = -1

Therefore, the solutions to the equation (x-5)² = 36 are x = 11 and x = -1.