document.write( "Question 1197383: 9x^2+4y^2+36x-24y+36=0
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Algebra.Com's Answer #830618 by MathLover1(20850)\"\" \"About 
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\"9x%5E2%2B4y%5E2%2B36x-24y%2B36=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%289x%5E2%2B36x%29%2B%284y%5E2-24y%29%2B36=0\".............complete squares\r
\n" ); document.write( "\n" ); document.write( "\"9%28x%5E2%2B4x%29%2B4%28y%5E2-6y%29%2B36=0\"\r
\n" ); document.write( "\n" ); document.write( "\"9%28x%5E2%2B4x%2Bb%5E2%29-9b%5E2%2B4%28y%5E2-6y%2Bb%5E2%29-4b%5E2%2B36=0\"\r
\n" ); document.write( "\n" ); document.write( "\"9%28x%5E2%2B4x%2B2%5E2%29-9%2A2%5E2%2B4%28y%5E2-6y%2B3%5E2%29-4%2A3%5E2%2B36=0\"\r
\n" ); document.write( "\n" ); document.write( "\"9%28x%2B2%29%5E2-36%2B4%28y-3%29%5E2-36%2B36=0\"\r
\n" ); document.write( "\n" ); document.write( "\"9%28x%2B2%29%5E2%2B4%28y-3%29%5E2-36=0\"\r
\n" ); document.write( "\n" ); document.write( "\"9%28x%2B2%29%5E2%2B4%28y-3%29%5E2=36\"............divide by \"36\"\r
\n" ); document.write( "\n" ); document.write( "\"9%28x%2B2%29%5E2%2F36%2B4%28y-3%29%5E2%2F36=1\"\r
\n" ); document.write( "\n" ); document.write( "\"%28x%2B2%29%5E2%2F4%2B%28y-3%29%5E2%2F9=1\"\r
\n" ); document.write( "\n" ); document.write( "=> it’s an vertical ellipse with center at (\"-2\",\"3\")
\n" ); document.write( "=> \"a%5E2=9\" and \"b%5E2=4\"
\n" ); document.write( "=> \"a=3\" and \"b=2\"
\n" ); document.write( "semi-major axis length: \"3\"
\n" ); document.write( "semi-minor axis length: \"2\"\r
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