How many values of c in the equation x^2-5x+c results in rational roots which are integers

1)1 2)3 3)6 4)infinite

• c=4 => x=1,4
  c=-6 => x=-1,6
  c=-14 => x=-2,7
  c=-24 => x=-3,8
  c=-36 => x=9,-4
  c=-50 => x=-5,10
  c=-55 => x=-6,11 and so on...
  Hence, Infinite is the answer
  
• 9 years agoHelpfull: Yes(7) No(1)
• 4)infinite
• 9 years agoHelpfull: Yes(2) No(0)
• 4.infinite...
• 9 years agoHelpfull: Yes(1) No(0)
• The answer is INFINITE.
  
  1.c=6
  2.c=-6
  3.c=4
  and there should be any negative value whose multiplication difference is 5.
  Like: -14(2,-7)
  Like: -24(3,-8) and so on.
  So,the answer is INFINITE.
• 9 years agoHelpfull: Yes(1) No(0)