document.write( "Question 1087046: ​289​​(x−12)​2​​​​+​64​​(y−3)​2​​​​=1
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Algebra.Com's Answer #701328 by ikleyn(52788)\"\" \"About 
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document.write( "\"289%2A%28x-12%29%5E2\" + \"64%2A%28y-3%29%5E2\" = 1.\r\n" );
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document.write( "Equivalently\r\n" );
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document.write( "\"%28x-12%29%5E2%2F%28%281%2F289%29%29\" + \"%28y-3%29%5E2%2F%28%281%2F64%29%29\" = 1,    which is the same as \r\n" );
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document.write( "\"%28x-12%29%5E2%2F%28%281%2F17%29%5E2%29\" + \"%28y-3%29%5E2%2F%28%281%2F8%29%5E2%29\" = 1. \r\n" );
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document.write( "Ellipse with the center at (x,y) = (12,3).\r\n" );
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document.write( "The major axis is vertical. The ellipse is taller than wide.\r\n" );
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document.write( "The major (vertical)   semi-axis has the length of a = \"1%2F8\" of unit.\r\n" );
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document.write( "The minor (horizontal) semi-axis has the length of b = \"1%2F17\" of unit.\r\n" );
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document.write( "The linear eccentricity is c = \"sqrt%28%281%2F8%29%5E2+-+%281%2F17%29%5E2%29\" = \"sqrt%28289-64%29%2F%288%2A17%29%29\" = \"15%2F%288%2A17%29\".\r\n" );
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document.write( "Having this, you can easily determine the foci of the ellipse.\r\n" );
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\n" ); document.write( "\n" ); document.write( "See the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Ellipse definition, canonical equation, characteristic points and elements \r
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\n" ); document.write( "\n" ); document.write( "    - Standard equation of an ellipse\r
\n" ); document.write( "\n" ); document.write( "    - Identify elements of an ellipse given by its standard equation\r
\n" ); document.write( "\n" ); document.write( "    - Find the standard equation of an ellipse given by its elements\r
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\n" ); document.write( "\n" ); document.write( "    - General equation of an ellipse\r
\n" ); document.write( "\n" ); document.write( "    - Transform a general equation of an ellipse to the standard form by completing the square\r
\n" ); document.write( "\n" ); document.write( "    - Identify elements of an ellipse given by its general equation\r
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\n" ); document.write( "\n" ); document.write( "    - OVERVIEW of lessons on ellipses \r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( "    ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic
\n" ); document.write( "\"Conic sections: Ellipses. Definition, major elements and properties. Solved problems\".\r
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