(x-8)^2=36

less than a minute read Jun 17, 2024

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:

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