SOLUTION: Classify the conic section and write its equation in standard form. x^2+y^2+8x+2y-8=0

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Classify the conic section and write its equation in standard form. x^2+y^2+8x+2y-8=0      Log On


   

Question 970905: Classify the conic section and write its equation in standard form.
x^2+y^2+8x+2y-8=0
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E2%2By%5E2%2B8x%2B2y-8=0
%28x%5E2%2B8x%2Bb%5E2%29-b%5E2%2B%28y%5E2%2B2y%2Bb%5E2%29-b%5E2=8
%28x%5E2%2B8x%2B4%5E2%29-4%5E2%2B%28y%5E2%2B2y%2B1%5E2%29-1%5E2=8
%28x%2B4%29%5E2-16%2B%28y%2B1%29%5E2-1=8
%28x%2B4%29%5E2%2B%28y%2B1%29%5E2-17=8
%28x%2B4%29%5E2%2B%28y%2B1%29%5E2=8%2B17
%28x%2B4%29%5E2%2B%28y%2B1%29%5E2=25=> circle with center at (-4,-1) and radius r=5