document.write( "Question 698810: write the equation of the ellipse 4x^2+9y^2-64x+162y+949=0 in standard form. \n" ); document.write( "
Algebra.Com's Answer #431054 by MathLover1(20850)\"\" \"About 
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\"4x%5E2%2B9y%5E2-64x%2B162y%2B949=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%284x%5E2-64x%29%2B%289y%5E2%2B162y%29%2B949=0\"....write \"949+\" as \"256%2B729-36\" and complete square \r
\n" ); document.write( "\n" ); document.write( "\"%284x%5E2-64x%29+\" so; use \"256\" to write \"-64\" as \"2ab\" where\r
\n" ); document.write( "\n" ); document.write( " \"2a=256%2F64=4\" and \"b=sqrt%28256%29=16\"; than you will have \"2ab=-128\"\r
\n" ); document.write( "\n" ); document.write( " and (4x^2-128x+256) ...do same with (9y^2+162y) and you will get \r
\n" ); document.write( "\n" ); document.write( "\"9y%5E2%2B324y%2B729\"\r
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\n" ); document.write( "\n" ); document.write( "\"%284x%5E2-128x%2B256%29%2B%289y%5E2%2B324y%2B729%29-36=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"%284x%5E2-128x%2B256%29%2B%289y%5E2%2B324y%2B729%29-36=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"4%28x%5E2-32x%2B64%29%2B9%28y%5E2%2B36y%2B81%29-36=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"4%28x-8%29%5E2%2B9%28y%2B9%29%5E2-36=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"4%28x-8%29%5E2%2B9%28y%2B9%29%5E2=36\".....both sides divide by \"36\"\r
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\n" ); document.write( "\n" ); document.write( "\"4%28x-8%29%5E2%2F36%2B9%28y%2B9%29%5E2%2F36=36%2F36\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28x-8%29%5E2%2F9%2B%28y%2B9%29%5E2%2F4=1\"\r
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