SOLUTION: find the center of an ellipse with this equation: 9x2+16y2-18x+64y=71

Question 697047: find the center of an ellipse with this equation:
9x2+16y2-18x+64y=71
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
find the center of an ellipse with this equation:
9x2+16y2-18x+64y=71
**
9x^2+16y^2-18x+64y=71
complete the square:
9x^2-18x+16y^2+64y=71
9(x^2-2x+1)+16(y^2+4y+4)=71+9+64
9(x-1)^2+16(y+2)^2=144
(x-1)^2/16+(y+2)^2/9=1
this is an equation of an ellipse with horizontal major axis and center at (1,-2)

RELATED QUESTIONS
Find the center of an ellipse with the equation {{{9x^2 + 16y^2 - 18x + 64y =... (answered by mukhopadhyay)

Find the center of an ellipse with the equation {{{9x^2 + 16y^2 - 18x + 64y =... (answered by Edwin McCravy)

These are the hardest questions, I cannot figure them out. Can you help me? What is... (answered by khwang)

find the center of an ellipse with the equation 9x^2+16y^2-18x+64y=71 Find the foci... (answered by jsmallt9)

Find the center of an ellipse with the equation... (answered by Fombitz)

Given the hyperbola: 9x2 � 54x � 16y2 + 64y � 127 = 0 (answered by lwsshak3)

Find the center,foci,vertices and covertices of the ellipse with the given equation.... (answered by ikleyn)

The perimeter of an ellipse is 28.448 units. Its major axis is 10 units long and is... (answered by greenestamps)

What is the equation of the ellipse in standard form?... (answered by lwsshak3)