Example 2
what is the center and radius of the following circle?
x^2+4x+y^2−12y=41.

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 =

answer: 0+0=0

step-by-step explanation:

that is the only answer that can make 0

5.5

step-by-step explanation: