(x+2)^2=100

2 min read Jun 16, 2024

Solving the Equation (x+2)^2 = 100

This equation presents a straightforward example of solving a quadratic equation. Let's break down the steps to find the solution for x.

1. Taking the Square Root

The first step is to isolate the squared term. We can do this by taking the square root of both sides of the equation:

√((x+2)^2) = ±√100

This simplifies to:

x+2 = ±10

Remember that taking the square root introduces both positive and negative solutions.

2. Isolating x

Now, we need to isolate x. To do this, we subtract 2 from both sides of the equation:

x = ±10 - 2

3. Finding the Solutions

This gives us two possible solutions:

x = 10 - 2 = 8
x = -10 - 2 = -12

Therefore, the solutions to the equation (x+2)^2 = 100 are x = 8 and x = -12.

Conclusion

This example demonstrates a simple method for solving quadratic equations. By understanding the steps involved, we can efficiently solve similar equations involving squared terms.