Question

The general form of the equation of a circle is x2+y2+2x−6y+1=0.

What are the coordinates of the center of the circle?

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Answer 1

you would start by completing the square

1. separate the x terms
2. identify the "b" term (the term where x is raised to the first power)
3. take the coefficient, divide that by 2, square the result. then add the result to both sides of the equation. this will allow us to complete a perfect square trinomial
4. factor the x terms only

lmk if you are getting stuck with this part or want to check your solution. after this you can repeat the process with the y terms