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(x + 5)2 = 36

less than a minute read Jun 16, 2024
(x + 5)2 = 36

Solving the Equation (x + 5)² = 36

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 gives us:

√(x + 5)² = ±√36

This gives us two possible equations:

  • x + 5 = 6
  • x + 5 = -6

3. Solve for x in Each Equation

Equation 1:

  • x + 5 = 6
  • x = 6 - 5
  • x = 1

Equation 2:

  • x + 5 = -6
  • x = -6 - 5
  • x = -11

4. Solution

Therefore, the solutions to the equation (x + 5)² = 36 are x = 1 and x = -11.

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