document.write( "Question 702648: how do you convert this conic section into standard form? 4x^2+y^2-48x-4y+48= 0 \n" ); document.write( "
Algebra.Com's Answer #433082 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
\"4x%5E2%2By%5E2-48x-4y%2B48=+0\"....reorder terms \r
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\n" ); document.write( "\n" ); document.write( "\"4x%5E2-48x%2By%5E2-4y%2B48=+0\"...replace \"48\" with \"144%2B4-100\" \r
\n" ); document.write( "\n" ); document.write( "\"4x%5E2-48x%2By%5E2-4y%2B144%2B4-100=+0\".......group\r
\n" ); document.write( "\n" ); document.write( "\"%284x%5E2-48x%2B144%29%2B%28y%5E2-4y%2B4%29-100=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"4%28x%5E2-12x%2B36%29%2B%28y%5E2-4x%2B4%29-100=0\"....write \"%28x%5E2-12x%2B36%29\" as \"%28x-6%29%5E2\" and \r
\n" ); document.write( "\n" ); document.write( "\"%28y%5E2-4x%2B4%29\" as \"%28y-2%29%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"4%28x-6%29%5E2%2B%28y-2%29%5E2-100=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"4%28x-6%29%5E2%2B%28y-2%29%5E2=100\"\r
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\n" ); document.write( "\n" ); document.write( "\"4%28x-6%29%5E2%2F100%2B%28y-2%29%5E2%2F100=100%2F100\"\r
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\n" ); document.write( "\n" ); document.write( "\"cross%284%29%28x-6%29%5E2%2Fcross%28100%2925%2B%28y-2%29%5E2%2F100=1\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28x-6%29%5E2%2F25%2B%28y-2%29%5E2%2F100=1\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28x-6%29%5E2%2F5%5E2%2B%28y-2%29%5E2%2F10%5E2=1\"....this is your ellipse with a center (\"h\",\"k\" at (\"6\",\"2\", semi-minor axis length \"a=5\", and semi-major axis length \"b=10\"\r
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