SOLUTION: How do I change this into H-K form to find the properties of an elipse: x^2+4y^2-6x-16y+21=0

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Question 696070: How do I change this into H-K form to find the properties of an elipse:
x^2+4y^2-6x-16y+21=0
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
How do I change this into H-K form to find the properties of an elipse:
x^2+4y^2-6x-16y+21=0
complete the square
x^2-6x+4y^2-16y+21=0
(x^2-6x+9)+4(y^2-4y+4)=-21+9+16
(x-3)^2+4(y-2)^2=4
(x-3)^2/4+(y-2)^2/1=1
This is an ellipse with horizontal major axis and center at (3,2)
length of horizontal major axis=2a=4
length of minor axis=2b=2