(x-1)^2=49

Jasonbradley

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Jun 17, 2024

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Solving the Equation: (x-1)^2 = 49

This equation involves a squared term, which requires us to consider both positive and negative solutions. Here's how to solve it:

1. Isolate the Squared Term:

The squared term is already isolated on the left side of the equation.

2. Take the Square Root of Both Sides:

Taking the square root of both sides eliminates the square: √((x-1)²) = ±√49

This gives us: x - 1 = ±7

3. Solve for x:

We now have two separate equations:

• x - 1 = 7
• x - 1 = -7

Solving for x in each equation:

• x = 7 + 1 = 8
• x = -7 + 1 = -6

Therefore, the solutions to the equation (x-1)² = 49 are x = 8 and x = -6.