document.write( "Question 1105781: positive integer number increased by its square is equal to 16 times the next higher positive integer number. \n" ); document.write( "
Algebra.Com's Answer #720668 by josgarithmetic(39630)\"\" \"About 
You can put this solution on YOUR website!
Integers n and n+1;\r
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\n" ); document.write( "\n" ); document.write( "\"n%2Bn%5E2=16%28n%2B1%29\"\r
\n" ); document.write( "\n" ); document.write( "-\r
\n" ); document.write( "\n" ); document.write( "\"n%2Bn%5E2=16n%2B16\"\r
\n" ); document.write( "\n" ); document.write( "\"n%5E2=15n%2B16\"\r
\n" ); document.write( "\n" ); document.write( "\"n%5E2-15n-16=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28n-16%29%28n%2B1%29=0\"\r
\n" ); document.write( "\n" ); document.write( "The POSITIVE integer is n=16.\r
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\n" ); document.write( "\n" ); document.write( "-
\n" ); document.write( "CHECK
\n" ); document.write( "Does that work?
\n" ); document.write( "\"16%2B16%5E2=16%2817%29\"
\n" ); document.write( "\"272=272\"
\n" ); document.write( "yes
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