SOLUTION: I'm homeschooled and I can't seem to get the steps of this problem. The question is: Which statement describes the graph of the equation x^2 + y^2 + 4x - 6y - 3 = 0 The a

Algebra ->  Equations -> SOLUTION: I'm homeschooled and I can't seem to get the steps of this problem. The question is: Which statement describes the graph of the equation x^2 + y^2 + 4x - 6y - 3 = 0 The a      Log On


   



Question 422050: I'm homeschooled and I can't seem to get the steps of this problem.
The question is:
Which statement describes the graph of the equation x^2 + y^2 + 4x - 6y - 3 = 0
The answer is:
A circle with center (-2, 3) and radius 4.
I'm unsure how to get that answer.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Complete the square:



Constant term to the RHS:




Group like variables:



Divide the first degree x term coefficient by 2, square the result, and add that result to both sides:



Repeat for the first degree y term:



Factor the two perfect square trinomials in the LHS and collect terms in the RHS.



The equation of a circle with center at and radius is:



So re-write your equation:




John

My calculator said it, I believe it, that settles it
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