Convert the equation of the circle below to standard form:
x2 + 2x + y2 + 6y = 15

A. (x + 2)2 + (y + 6)2 = 36
B. (x + 3)2 + (y + 1)2 = 25
C. (x + 1)2 + (y + 3)2 = 5
D. (x + 1)2 + (y + 3)2 = 25

The answer to your question is the letter D.

Explanation:

Equation of the circle

                          x²  +  2x  +  y²  +  6y  = 15

-Group like terms

                          (x² + 2x   )  + (y² + 6y   ) = 15

-Complete perfect square trinomials

                          (x² + 2x + 1²) + (y² + 6y + 3²) = 15 + 1² + 3²

-Simplify

                           (x + 1)² + (y + 3)² = 15 + 9 + 1

-Equation in standard form

                           (x + 1)² + (y + 3)² = 25

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