document.write( "Question 82921: find all positive values for k for which each of the following can be factored.\r
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document.write( "x^2+x-k \n" );
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Algebra.Com's Answer #59503 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! find all positive values for k for which each of the following can be factored. \n" ); document.write( "x^2+x-k \n" ); document.write( " \r\n" ); document.write( "k must be the product of two integers that differ by 1\r\n" ); document.write( "\r\n" ); document.write( "Let one integer be n and and the other n+1.\r\n" ); document.write( "\r\n" ); document.write( "Then the product of n and n+1 is n(n + 1)\r\n" ); document.write( "\r\n" ); document.write( "So k must be such that k = n(n + 1) where n is any integer.\r\n" ); document.write( "That's it. \r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |