document.write( "Question 117229: Find all positive values for k for which each of the following can be factored.\r
\n" ); document.write( "\n" ); document.write( "x^2+x-k\r
\n" ); document.write( "\n" ); document.write( "Thanks
\n" ); document.write( "

Algebra.Com's Answer #85275 by checkley71(8403)\"\" \"About 
You can put this solution on YOUR website!
k can be any number that has 2 factors that differ by 1'
\n" ); document.write( "examples are:
\n" ); document.write( "2*3=6 (x^2+x-6)=(x-2)(x+3)
\n" ); document.write( "7*8=56 (x^2+x-56)=(x-7)(x+8)
\n" ); document.write( "9*10=90 (x^2+x-90)=(x+10)(x-9)
\n" ); document.write( "
\n" );