SOLUTION: Write the standard form of the equation by completing the square. Then, identify the conic section represented. x^2+y^2+2x-4y-31=0 I tried factoring it, but it's not working

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Write the standard form of the equation by completing the square. Then, identify the conic section represented. x^2+y^2+2x-4y-31=0 I tried factoring it, but it's not working      Log On


   



Question 973674: Write the standard form of the equation by completing the square. Then, identify the conic section represented.
x^2+y^2+2x-4y-31=0
I tried factoring it, but it's not working

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
x^2+y^2+2x-4y-31=0
x^2+2x + ;;; +y^2 +4y+ ;; =31
x^2 +2x+1 + Y^2 -4y +4 = 31+5
(x+1)^2 + (y-2)^2=36
This is a circle with radius 6 and center (-1,2)