document.write( "Question 256440: The sum of the squares of two consecutive numbers is 29. Find the integers. \n" ); document.write( "
Algebra.Com's Answer #188573 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! n^2+(n+1)^2=29 \n" ); document.write( "n^2+n^2+2n+1=29 \n" ); document.write( "2n^2+2n-28=0 \n" ); document.write( "n^2+n-14=0 \n" ); document.write( "0^2+1^2=1 \n" ); document.write( "1^2+2^2=5 \n" ); document.write( "2^2+3^2=13 \n" ); document.write( "3^2+4^2=25 \n" ); document.write( "4^2+5^2=41 \n" ); document.write( "We are past 29. \n" ); document.write( "There are no consecutive integers whose squares add up to 29. \n" ); document.write( " \n" ); document.write( " |