(x+2)^2=49

2 min read Jun 16, 2024
(x+2)^2=49

Solving the Equation (x+2)^2 = 49

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

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 of the equation gives us:

√(x+2)^2 = ±√49

Remember that when we take the square root, we need to consider both positive and negative solutions.

3. Simplify

This simplifies to:

x + 2 = ±7

4. Solve for x

Now we have two separate equations to solve:

  • Case 1: x + 2 = 7
    • Subtracting 2 from both sides gives: x = 5
  • Case 2: x + 2 = -7
    • Subtracting 2 from both sides gives: x = -9

Solutions

Therefore, the solutions to the equation (x+2)^2 = 49 are x = 5 and x = -9.

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