(x-9)^2=64

less than a minute read Jun 17, 2024
(x-9)^2=64

Solving the Equation (x-9)² = 64

This equation involves a squared term, so we'll need to use the square root property to solve for x. Here's how:

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 will get rid of the square on the left side:

√[(x-9)²] = ±√64

This gives us:

x - 9 = ±8

3. Solve for x

Now we have two separate equations to solve:

  • Equation 1: x - 9 = 8
  • Equation 2: x - 9 = -8

Solving for x in each equation:

  • Equation 1: x = 8 + 9 = 17
  • Equation 2: x = -8 + 9 = 1

4. Solutions

Therefore, the solutions to the equation (x-9)² = 64 are x = 17 and x = 1.

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