document.write( "Question 972223: The sum of the squares of four consecutive odd integers is 36. What is the difference between the largest and smallest of the integers? \n" ); document.write( "

Algebra.Com's Answer #594590 by MathTherapy(10552) $\"\"$ $\"About$

You can put this solution on YOUR website!
The sum of the squares of four consecutive odd integers is 36. What is the difference between the largest and smallest of the integers?
\n" ); document.write( "

Let the least of the numbers be S
\n" );
document.write( "Then other 3 are: S + 2, S + 4, and S + 6
\n" );
document.write( "We then get: 
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "(S + 5)(S + 1) = 0
\n" );
document.write( "S, or smallest integer = - 5              OR                S = - 1\r
\n" );
document.write( "\n" );
document.write( "If smallest integer is: - 5, then 4 integers are: 
\n" );
document.write( "Difference between largest and smallest integer: 1 - - 5, or 1 + 5, or \r
\n" );
document.write( "\n" );
document.write( "If smallest integer is: - 1, then 4 integers are: 
\n" );
document.write( "Difference between largest and smallest integer: 5 - - 1, or 5 + 1, or  \n" );
document.write( "

\n" );