document.write( "Question 760026: please help me solve this: the sum of the cubes of two consecutive numbers is one more than a perfect cube. what are these two numbers \n" ); document.write( "
Algebra.Com's Answer #462465 by tommyt3rd(5050)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "which gives us...
\n" ); document.write( "\"%0D%0A%282n%2B1%29%28n%5E2%2Bn%2B1%29%0D%0A\"\r
\n" ); document.write( "\n" ); document.write( "This number is to be 1 more than a perfect cube i.e.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%0D%0Am%5E3=2n%5E3%2B3n%5E2%2B3n=n%282n%5E3%2B3n%2B3%29%0D%0A\"\r
\n" ); document.write( "\n" ); document.write( "We only have one equation so are algebra methods end here.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "By trial and error n=1\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );