Answer:
The answer to your question is below
Step-by-step explanation:
x² + 4x + y² - 12y = 41
Complete perfect squares
x² + 4x + y² - 12y = 41
x² + 4x + (2)² + y² - 12y + (6)² = 41 + (2)² + (6)²
Factor
(x + 2)² + (y - 6)² = 41 + (2)² + (6)²
Simplify
(x + 2)² + (y - 6)² = 41 + 4 + 36
(x + 2)² + (y - 6)² = 81
Center = (-2, 6)
Radius = [tex]\sqrt{81} = 9[/tex]
