document.write( "Question 1129772: How many positive integers k less than 289 are there such that k^2+6k+7 is divisible by 289? \n" ); document.write( "
Algebra.Com's Answer #750648 by ikleyn(52798)\"\" \"About 
You can put this solution on YOUR website!
.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I checked it using Excel spreadsheet.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The answer is:  there are  2 ( two,  TWO)  such positive integer numbers.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "They are  42  and  241.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "There are no other solutions.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So,  I confirm the answer by the tutor  @Math_helper.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );