document.write( "Question 1197045: Find three consecutive positive integers which have 110 as the sum of their squares. \n" ); document.write( "

Algebra.Com's Answer #830129 by ikleyn(52864) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Find three consecutive positive integers which have 110 as the sum of their squares.
\n" ); document.write( "~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "(x-1)^2 + x^2 + (x+1)^2 = 110\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(x^2 - 2x + 1) + x^2 + (x^2 + 2x + 1) = 110\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "3x^2 + 2 = 110\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "   3x^2  = 110 - 2 = 108\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    x^2            = 108/3 = 36\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    x                      =  = 6.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  The numbers are 5, 6 and 7.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "CHECK.  25 + 36 + 49 = 110.    ! correct !\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );