document.write( "Question 1086306: find the area bounded by the curve 9x^2 + 25y^2 + 18x - 100y = 116 \n" ); document.write( "
Algebra.Com's Answer #700471 by ikleyn(52803)\"\" \"About 
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document.write( "Transform the given general equation of an ellipse to the standard form by completing the squares:\r\n" );
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document.write( "\"9x%5E2+%2B+25y%5E2+%2B+18x+-+100y\" = \"116\"  ====>\r\n" );
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document.write( "\"9%2A%28x%2B1%29%5E2+%2B+25%2A%28y-2%29%5E2\" = \"116+%2B+9+%2B+100\"  ====>\r\n" );
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document.write( "\"9%2A%28x%2B1%29%5E2+%2B+25%2A%28y-2%29%5E2\" = \"225\"  ====>  (divide by 225 both sides)  ====>  \r\n" );
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document.write( "\"%28x%2B1%29%5E2%2F%28%28225%2F9%29%29\" + \"%28y-2%29%5E2%2F%28%28225%2F25%29%29\" = 1  ====>\r\n" );
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document.write( "\"%28x%2B1%29%5E2%2F%28%2815%2F3%29%5E2%29\" + \"%28y-2%29%5E2%2F%28%2815%2F5%29%5E2%29\" = 1.\r\n" );
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document.write( "\"%28x%2B1%29%5E2%2F5%5E2\" + \"%28y-2%29%5E2%2F3%5E2\" = 1.\r\n" );
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document.write( "Ellipse centered at ((-1),2) with semi-axes 5 (major semi-axis) and 3 (minor semi-axis).\r\n" );
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document.write( "The area is  \"pi%2A5%2A3\" = \"15%2Api\" square units.\r\n" );
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\n" ); document.write( "\n" ); document.write( "See relevant 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( "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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