Identify the center and radius of y^2-12x=-20y-x^2-59

Answer 1

y² - 12x = -20y - x² - 59

x² - 12x + y² + 20y = -59

(x² - 12x + ____ ) +( y² + 20y + ____) = -59

(x² - 12x + 36) +( y² + 20y + ____) = -59 + 36

(x² - 12x + 36) +( y² + 20y + 100) = -59 + 36 + 100

(x - 6)² + (y + 10)² = -59 + 36 + 100

(x - 6)² + (y + 10)² = 77

(x - 6)² + (y + 10)² = (√77)²

The center is the point (6, -10) and the radius is √77