(x+7)^2=49

2 min read Jun 17, 2024

Solving the Equation (x+7)^2 = 49

This equation involves a squared term, which can be solved using the following steps:

1. Taking the Square Root

First, we need to get rid of the square on the left side of the equation. We do this by taking the square root of both sides. Remember that taking the square root results in both a positive and a negative solution.

√((x+7)^2) = ±√49

This simplifies to:

x + 7 = ±7

2. Isolating x

Now, we need to isolate x by subtracting 7 from both sides of the equation.

x + 7 - 7 = ±7 - 7

This leaves us with:

x = ±7 - 7

3. Solving for Both Solutions

Now, we need to solve for both possible solutions:

For the positive solution: x = 7 - 7 x = 0
For the negative solution: x = -7 - 7 x = -14

Conclusion

Therefore, the solutions to the equation (x+7)^2 = 49 are x = 0 and x = -14.