X² - 6x + y² + 2y = - 1

find center & Radius

The answer to your question is Center = (3, - 1), radius = 3

Step-by-step explanation:

Equation

x² - 6x + y² + 2y = - 1

-Process

1. - Leave a space between the like terms

x² - 6x + y² + 2y = - 1

2. - Divide the middle term of each group by 2 and write the result to the power of 2 in both sides of the equation.

x² - 6x + (3) ² + y² + 2y + (1) ² = - 1 + 3² + 1²

3. - Simplification

x² - 6x + 9 + y² + 2y + 1 = - 1 + 9 + 1

4. - Factor

(x - 3) ² + (y + 1) ² = 9

5. - Find the center and the radius

Center = (3, - 1)

Radius = √9 = 3