Answer :
x² + y² - 6x + 16y - 152 = 0
x² - 6x + y² + 16y - 152 = 0
x² - 6x + y² + 6y = 152
(x² - 6x + 9) + (y² + 6y + 9) = 152 + 9 + 9
(x - 3)² + (y + 3)² = 170
170 170 170
(x - 3)²/170 + (y + 3)²/170 = 1
x² - 6x + y² + 16y - 152 = 0
x² - 6x + y² + 6y = 152
(x² - 6x + 9) + (y² + 6y + 9) = 152 + 9 + 9
(x - 3)² + (y + 3)² = 170
170 170 170
(x - 3)²/170 + (y + 3)²/170 = 1
