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(x+2)^2-49=0

less than a minute read Jun 16, 2024
(x+2)^2-49=0

Solving the Equation (x+2)^2 - 49 = 0

This equation represents a quadratic equation in a disguised form. Let's break down how to solve it:

1. Simplify the Equation

  • Add 49 to both sides: This isolates the squared term. (x+2)^2 = 49

2. Take the Square Root of Both Sides

  • Remember: When taking the square root of both sides, we need to consider both positive and negative solutions. x + 2 = ±7

3. Isolate x

  • Subtract 2 from both sides: x = -2 ± 7

4. Find the Solutions

  • Two solutions emerge:
    • x = -2 + 7 = 5
    • x = -2 - 7 = -9

Conclusion

Therefore, the solutions to the equation (x+2)^2 - 49 = 0 are x = 5 and x = -9.

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