document.write( "Question 972223: The sum of the squares of four consecutive odd integers is 36. What is the difference between the largest and smallest of the integers? \n" ); document.write( "
Algebra.Com's Answer #594584 by josgarithmetic(39617)\"\" \"About 
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n is any integer number.\r
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\n" ); document.write( "\n" ); document.write( "\"%282n%2B1%29%5E2%2B%282n%2B3%29%5E2%2B%282n%2B5%29%5E2%2B%282n%2B7%29%5E2=36\", and you are asked for what is \"%282n%2B7%29-%282n-1%29\".\r
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\n" ); document.write( "\n" ); document.write( "---\r
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\n" ); document.write( "\n" ); document.write( "To be sure,
\n" ); document.write( "\"4n%5E2%2B4n%2B1%2B4n%5E2%2B12n%2B9%2B4n%5E2%2B20n%2B25%2B4n%5E2%2B28n%2B49=36\"
\n" ); document.write( "\"16n%5E2%2B64n%2B84=36\"
\n" ); document.write( "\"16n%5E2%2B64n%2B48=0\"
\n" ); document.write( "\"n%5E2%2B4n%2B3=0\"
\n" ); document.write( "\"%28n%2B1%29%28n%2B3%29=0\"
\n" ); document.write( "n is either -1 or -3.
\n" ); document.write( "NOT both at the same time: Must be one or the other.\r
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\n" ); document.write( "\n" ); document.write( "Taking n=-1,
\n" ); document.write( "largest integer of the set:2(-1)+7=5.
\n" ); document.write( "smallest integer of the set: 2(-1)+1=-1.
\n" ); document.write( "DIFFERENCE REQUESTED: \"highlight%286%29\".
\n" ); document.write( "Taking n=-3,
\n" ); document.write( "DIFFERENCE REQUESTED: \"%282%28-3%29%2B7%29-%282%28-3%29%2B1%29=1-%28-5%29=highlight%286%29\".
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