(x+8)^2-2=0

Jasonbradley

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Jun 17, 2024

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Solving the Equation (x+8)² - 2 = 0

This article will guide you through the process of solving the quadratic equation (x+8)² - 2 = 0.

Understanding the Equation

The equation represents a quadratic expression, which is a polynomial with the highest power of the variable being 2. To solve this, we need to find the values of x that satisfy the equation.

Steps to Solve the Equation

1. Isolate the squared term:

   • Add 2 to both sides of the equation: (x+8)² = 2

2. Take the square root of both sides:

   • Remember to consider both positive and negative roots: x + 8 = ±√2

3. Solve for x:

   • Subtract 8 from both sides: x = -8 ±√2

Solutions

Therefore, the solutions to the equation (x+8)² - 2 = 0 are:

• x = -8 + √2
• x = -8 - √2

Conclusion

By following these steps, we have successfully solved the quadratic equation (x+8)² - 2 = 0 and obtained its two solutions. This method can be applied to solve other quadratic equations in a similar manner.