SOLUTION: graph x^2+9y^2+2x-18y+1=0 solve by completing the square.

Algebra.Com
Question 659754: graph x^2+9y^2+2x-18y+1=0
solve by completing the square.

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
graph x^2+9y^2+2x-18y+1=0
x^2+2x+9y^2-18y+1=0
(x^2+2x+1)+9(y^2-2y+1)=-1+1+9
(x+1)^2+9(y-1)^2=9
divide by 9
(x+1)^2/9+(y-1)^2=1
This is an equation of an ellipse with horizontal major axis and center at (-1,1)
see graph below:
y=±(1-((x+1)^2)/9)^.5+1


RELATED QUESTIONS

solve by completing the square:... (answered by jim_thompson5910)
Solve by completing the square. x^2 + 2x – 8 = 0 (answered by jim_thompson5910)
solve by completing the square:... (answered by ankor@dixie-net.com)
Solve by completing the square: x^2 + 2x - 24 =... (answered by oscargut)
Solve by completing the square... (answered by fractalier,unlockmath)
{{{2x^2-3x+1=0}}}Solve by completing the... (answered by Earlsdon)
2x^2-3x+1=0 Solve by completing the square. (answered by nerdybill,Edwin McCravy)
Solve by completing the square:... (answered by stanbon)
x^2-x-1=0 Solve by completing the... (answered by jim_thompson5910)