document.write( "Question 1082535: Find the distance of the point (3,4) to the foci of the ellipse whose equation 4x^2 + 9y^2 = 36 \n" ); document.write( "

Algebra.Com's Answer #696701 by ikleyn(52847) $\"\"$ $\"About$

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document.write( "The canonical equation of this ellipse is\r\n" );
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document.write( " +  = 1.    (to get it, simply divide both sides of the original equation by 36.)\r\n" );
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document.write( "It says that the major semi-axis is 3 units long, while the minor semi-axis is 2 units long.\r\n" );
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document.write( "Then the linear eccentricity is  = .\r\n" );
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document.write( "Hence the foci are these points  (,)  and (,).\r\n" );
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document.write( "From this point calculate the distances on your own.\r\n" );
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\n" ); document.write( "\n" ); document.write( "See the lesson\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( "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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