maths
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Numerical Ability
Algebra
Q. How many values of c in equation x^2-5x+c result in rational roots which are integers ?
Option
(a)1
(b)3
(c)6
(d)infinite
Read Solution (Total 4)
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- Given x^2-5x+c=0 to get real roots which are integers discriminant(d)=b^2-4*a*c>0
=)25-4c>0
25>4c
4c - 11 years agoHelpfull: Yes(0) No(0)
- TE AGO)
Krishna ChaitanyaGiven x^2-5x+c=0 to get real roots which are integers discriminant(d)=b^2-4*a*c>0
=)25-4c>0
25>4c
4c - 11 years agoHelpfull: Yes(0) No(0)
- d is right ans, for varying values like 4,6,-50....we can get infite solutions
- 11 years agoHelpfull: Yes(0) No(0)
- x^2-5x+c=0
To get real roots , discriminant(d)=b^2-4*a*c>0
25 - 4c > 0
The roots should also be integers
===> (25-4c) is a perfect square
c has infinite values (4,0,-6,-50,-150,-300,-500....) - 10 years agoHelpfull: Yes(0) No(0)
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