How many values of c in the equation will result in rational roots which are integers?
A)1
B)3
C)6
D)infinite

• Ans is 3
  for eq x^2-5x+c for the roots to be integer b*b-(4*a*c) should be perfect square.
  ie 25-4c should be square.Only 3 values satisfies ie 6,-6,4.
• 10 years agoHelpfull: Yes(11) No(1)
• for me answer is infinite..... x=-b+-sqr. root b^2-4*a*c
  this should be a perfect sqr so c can be from 1 6 -6 and infinite
• 11 years agoHelpfull: Yes(4) No(1)
• The equation is x^2-5x+6 .sory for incmplete question
• 11 years agoHelpfull: Yes(3) No(1)
• x^2-5x+c is the question
• 11 years agoHelpfull: Yes(1) No(0)
• @pramod xllnt !!!
  
• 10 years agoHelpfull: Yes(0) No(2)
• ans is 3 for sure and the values which satissfy this argument is -6,4,6. 1 can't be possible because if its 1 it will form underroot of 21 which is irrational.
• 10 years agoHelpfull: Yes(0) No(0)