(x-8)^2=36

less than a minute read Jun 17, 2024
(x-8)^2=36

Solving the Equation: (x - 8)² = 36

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

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:

Remember that taking the square root introduces both positive and negative solutions:

√[(x - 8)²] = ±√36

3. Simplify:

This gives us:

x - 8 = ±6

4. Solve for x:

  • Case 1: x - 8 = 6

    • Add 8 to both sides: x = 14
  • Case 2: x - 8 = -6

    • Add 8 to both sides: x = 2

Therefore, the solutions to the equation (x - 8)² = 36 are x = 14 and x = 2.

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