What is the center and radious for the cricle with equation 2x^2-8x+2y^2+12y+14=0

Step-by-step explanation:

2x² - 8x + 2y² + 12y + 14 = 0

x² - 4x + y² + 6y + 7 = 0

Complete the squares.

x² - 4x + 4 + y² + 6y + 9 + 7 = 4 + 9

(x - 2) ² + (y + 3) ² + 7 = 13

(x - 2) ² + (y + 3) ² = 6

The center is (2, - 3), and the radius is √6.