document.write( "Question 1206697: [n/(n+1)] ² + [n/(n-1)] ² = 12
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Algebra.Com's Answer #844286 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\"%28n%2F%28n%2B1%29%29%5E2+%2B+%28n%2F%28n-1%29%29%5E2+=+12\"\r
\n" ); document.write( "\n" ); document.write( " \"n%5E2%2F%28n%2B1%29%5E2+%2B+n%5E2%2F%28n-1%29%5E2+=+12\"\r
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\n" ); document.write( "\n" ); document.write( "\"n%5E2%28n-1%29%5E2%29+%2B+n%5E2%28n%2B1%29%5E2+=+12%28%28n%2B1%29%5E2%2A%28n-1%29%5E2%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"2+n%5E4+%2B2n%5E2++=+12n%5E4+-+24n%5E2+%2B+12\"...divide by \"2\"\r
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\n" ); document.write( "\n" ); document.write( "\"n%5E4+%2Bn%5E2++=+6n%5E4+-+12n%5E2+%2B+6\"\r
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\n" ); document.write( "\n" ); document.write( "\"6n%5E4+-+12n%5E2+%2B+6-n%5E4+-n%5E2+=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"5n%5E4+-+13n%5E2+%2B+6++=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"5n%5E4+-+10n%5E2-3n%5E2+%2B+6++=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"%285n%5E4+-+10n%5E2%29-%283n%5E2+-+6+%29+=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"5n%5E2%28n%5E2+-+2%29-3%28n%5E2+-+2+%29+=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28n%5E2+-+2%29+%285n%5E2+-+3%29+=+0\"\r
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\n" ); document.write( "\n" ); document.write( "if \"%28n%5E2+-+2%29++=+0\"=> \"n%5E2=2\" => \"n=sqrt%282%29\" or \"n=-sqrt%282%29\"\r
\n" ); document.write( "\n" ); document.write( "if \"%285n%5E2+-+3%29+=+0\"=> \"5n%5E2=3+\"=> \"n=sqrt%283%2F5%29\" or \"n=-sqrt%283%2F5%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"n=sqrt%282%29\" \r
\n" ); document.write( "\n" ); document.write( "\"n=-sqrt%282%29\"\r
\n" ); document.write( "\n" ); document.write( "\"n=sqrt%283%2F5%29\"\r
\n" ); document.write( "\n" ); document.write( "\"n=-sqrt%283%2F5%29\"\r
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