(x-8)^2=20

less than a minute read Jun 17, 2024

Solving the Equation: (x-8)^2 = 20

This equation involves a squared term, so we'll use the square root property to solve for x. 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 of both sides introduces both positive and negative solutions.

√[(x-8)²] = ±√20

3. Simplify:

Therefore, we have:

x - 8 = ±2√5

4. Solve for x:

Add 8 to both sides of the equation:

x = 8 ± 2√5

Final Solution:

The solutions to the equation (x-8)² = 20 are:

These are the two possible values of x that satisfy the original equation.