SOLUTION: could someone please show me how to graph this x2+y2+2x-10y+1=0

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Question 744578: could someone please show me how to graph this x2+y2+2x-10y+1=0
Found 2 solutions by lynnlo, ikleyn:
Answer by lynnlo(4176) About Me  (Show Source):
You can put this solution on YOUR website!
.
could someone please show me how to graph this x^2+y^2+2x-10y+1=0
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Transform this general conic section equation to a standard form.


For it, group x-terms and y-terms in two separate groups and complete the squares

    (x^2 + 2x + 1) + (y^2 - 10y) = 0

    %28x%2B1%29%5E2 + (y^2 - 10y + 25) = 25

    %28x%2B1%29%5E2 + %28y-5%29%5E2 = 25.


This equation represents the circle of the radius  sqrt%2825%29 = 5
centered at the point (-1,5).

Solved.



Answer by ikleyn(53419) About Me  (Show Source):
You can put this solution on YOUR website!
.
could someone please show me how to graph this x^2+y^2+2x-10y+1=0
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Transform this general conic section equation to a standard form.


For it, group x-terms and y-terms in two separate groups and complete the squares

    (x^2 + 2x + 1) + (y^2 - 10y) = 0

    %28x%2B1%29%5E2 + (y^2 - 10y + 25) = 25

    %28x%2B1%29%5E2 + %28y-5%29%5E2 = 25.


This equation represents the circle of the radius  sqrt%2825%29 = 5
centered at the point (-1,5).

Solved.