Find the roots of the quadratic equation x2 + 6x + 8 = 0 by ...

To find the roots of the quadratic equation x²+ 6x + 8 = 0 by completing the square, we can follow these steps:

1. Move the constant term to the right side of the equation, resulting in x² + 6x = -8.

2. Take half the coefficient of the x-term, which is 6/2 = 3, and square it to obtain 9. Add 9 to both sides of the equation: x² + 6x + 9 = -8 + 9.

3. Simplify the equation: (x + 3)² = 1.

4. Take the square root of both sides: x + 3 = ±

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Algebra-2