(x-4)2=169 Answer

Jasonbradley

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Jun 17, 2024

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Solving the Equation (x-4)² = 169

This equation involves a squared term, which means we need to use the square root property to solve for x. Here's a step-by-step guide:

1. Isolate the squared term

The squared term is already isolated on the left side of the equation: (x - 4)² = 169

2. Take the square root of both sides

Remember that taking the square root of a number can result in both positive and negative values.

√(x - 4)² = ±√169

3. Simplify

This simplifies to:

x - 4 = ±13

4. Solve for x

We have two possible solutions:

• Case 1: x - 4 = 13 Adding 4 to both sides, we get: x = 17

• Case 2: x - 4 = -13 Adding 4 to both sides, we get: x = -9

Therefore, the solutions to the equation (x - 4)² = 169 are x = 17 and x = -9.