document.write( "Question 885229: Find the center, foci, vertices, and lengths of the major and minor axes. \r
\n" ); document.write( "\n" ); document.write( "16x^2 - 64x + 4y^2 = 0 \n" ); document.write( "
Algebra.Com's Answer #535459 by lwsshak3(11628)\"\" \"About 
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Find the center, foci, vertices, and lengths of the major and minor axes.
\n" ); document.write( "16x^2 - 64x + 4y^2 = 0
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\n" ); document.write( "16x^2-64x+4y^2=0
\n" ); document.write( "complete the square:
\n" ); document.write( "16(x^2-4x+4)+4y^2=0+64
\n" ); document.write( "16(x-2)^2+4y^2=64
\n" ); document.write( "\"%28x-2%29%5E2%2F4%2By%5E2%2F16=1\"
\n" ); document.write( "This is an equation of an ellipse with vertical major axis.
\n" ); document.write( "Its standard form of equation: (x-h)^2/a^2+(y-k)^2=1,
\n" ); document.write( "center:(2,0)
\n" ); document.write( "vertices:
\n" ); document.write( "a^2=16
\n" ); document.write( "a=4
\n" ); document.write( "length of major axis=2a=8
\n" ); document.write( "vertices:(2,0±a),(2,0±4),(2,-4)and (2,4)
\n" ); document.write( "b^2=4
\n" ); document.write( "b=2
\n" ); document.write( "length of minor axis=2b=4
\n" ); document.write( "c^2=a^2-b^2=16-4=12
\n" ); document.write( "c=√12≈3.5
\n" ); document.write( "foci:(2,0±c),(2,0±3.5),(2,-3.5)and (2,3.5)
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