document.write( "Question 413064: Determine the standard equation of the ellipse given:
\n" ); document.write( "Center: (3,4) Focus (8,4) Also contains the point: (3,8) \n" ); document.write( "
Algebra.Com's Answer #290138 by lwsshak3(11628)\"\" \"About 
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Determine the standard equation of the ellipse given:
\n" ); document.write( "Center: (3,4) Focus (8,4) Also contains the point: (3,8)\r
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\n" ); document.write( "\n" ); document.write( "Standard form of given ellipse:
\n" ); document.write( "(x-3)^2/a^2+(y-4)^2/b^2=1
\n" ); document.write( "c=distance from ctr to focus on major axis=5
\n" ); document.write( "c^2=a^2-b^2
\n" ); document.write( "25=a^2-b^2
\n" ); document.write( "b^2=a^2-25
\n" ); document.write( "Using point on ellipse (3,8)
\n" ); document.write( "(3-3)^2/a^2+(8-4)^2/b^2=1
\n" ); document.write( "0+4^2/b^2=1
\n" ); document.write( "b^2=16
\n" ); document.write( "a^2=c^2+b^2=25+16=41
\n" ); document.write( "equation of ellipse:
\n" ); document.write( "(x-3)^2/41+(y-4)^2/16=1
\n" ); document.write( "see graph below:\r
\n" ); document.write( "\n" ); document.write( "..
\n" ); document.write( "y=4+((656-16(x-3)^2)/41)^.5\r
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