10 !

using the following equation, find the center and radius of the circle. you must show all work and calculations to receive credit.

x2 −2x + y2 − 6y = 26

The answer to your question is: Canter (1, 3) and r = 6

Step-by-step explanation:

                               x² - 2x + y² - 6y =  26

        x² - 2x + (    )²  + y² - 6y + (    )² = 26

       x² - 2x + (1)² + y² - 6y + (3)² =  26 + 1 + 9          Complete perfect squares

                               ( x - 1 )² + (y - 3)² = 36                Factor and simplify

Center = (1 , 3)

radius      r² = 36

                r =

                r = 6