document.write( "Question 237354: Find all integers m which y^2 + my + 50 can be factored \n" ); document.write( "
Algebra.Com's Answer #174549 by rapaljer(4671)\"\" \"About 
You can put this solution on YOUR website!
First list all products of integers that equal 50 beginning with 1:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "1*50
\n" ); document.write( "2*25
\n" ); document.write( "3 Doesn't work
\n" ); document.write( "4 Doesn't work
\n" ); document.write( "5*10
\n" ); document.write( "6, 7, 8, and 9 don't work
\n" ); document.write( "10*5 is the same as you already have.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the combinations are 1*50, 2*25, and 5*10.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The SUMS of these numbers must equal the middle term, which is \"my\". So these numbers must be 1+50=51, 2+25= 27, and 5+10=15. Also, the numbers could be negative, so the final answers are
\n" ); document.write( "{51, 27, 15, -15, -27, and -51}.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Dr. Robert J. Rapalje, Retired
\n" ); document.write( "Seminole State College of Florida
\n" ); document.write( "Altamonte Springs Campus
\n" ); document.write( "
\n" );