document.write( "Question 129389This question is from textbook
\n" ); document.write( ": Perfect Squares. Find a positive integer such that the integer increased by 1 is a perfect square and one-half of the integer increased by 1 is a perfect square. Also find the next two larger positive integers that have this same property.\r
\n" ); document.write( "\n" ); document.write( "(this is what I put x^2+1+1/2x^2+1) \n" ); document.write( "
Algebra.Com's Answer #94531 by 303795(602)\"\" \"About 
You can put this solution on YOUR website!
First positive integer is 48.
\n" ); document.write( "(48+1) = 49 (ie 7 squared)
\n" ); document.write( "(48/2) = 24
\n" ); document.write( "(24+1) = 25 (ie 5 squared)
\n" ); document.write( ".
\n" ); document.write( "Next positive integer is 1680
\n" ); document.write( "(1680+1) = 1681 (ie 41 squared)
\n" ); document.write( "(1680/2) = 840
\n" ); document.write( "(840+1) = 841 (ie 29 squared)
\n" ); document.write( ".
\n" ); document.write( "Next positive integer is 57120
\n" ); document.write( "(57120+1) = 57121 (ie 239 squared)
\n" ); document.write( "(57120/2) = 28560
\n" ); document.write( "(28560+1) = 28561 (ie 169 squared)
\n" ); document.write( ".
\n" ); document.write( "Note if the condition that the integer had to be positive was not included then the first integer would be 0
\n" ); document.write( "(0+1) = 1 (ie 1 squared)
\n" ); document.write( "(0/2) = 0
\n" ); document.write( "(0+1) = 1 (ie 1 squared)
\n" ); document.write( ". Try also 1940448 \n" ); document.write( "
\n" );