Latest Elitmus Aptitude Question SOLUTION: how many value of c in the equation x^2-5x+c result in the rational root which are integer? option 1.) 6 option 2.) 3 option 3.) 1 option 4.) infinite

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(#M40041044) ELITMUS Numerical Ability question Keep an EYE

how many value of c in the equation x^2-5x+c result in the rational root which are integer?

option 1.) 6
option 2.) 3
option 3.) 1
option 4.) infinite

Asked In Elitmus Anand (9 years ago)

Unsolved Read Solution (12)

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Read Solution (12) :

newton  (9 years ago)

option 4 infinite solution

Is this solution Helpfull? Yes (9) | No   

Lakshminarayana  (9 years ago)

4)infinity.

Is this solution Helpfull? Yes (2) | No   

siddharth prakash singh  (9 years ago)

For equation to have rational roots, Discriminant of the given equation should be positive and should have value equal to perfect square .
Now D= b^2 -4ac = 25 - 4c
So to have D positive and perfect square there could be infinite value of c.
So Ans is option 4.) infinite.

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tirupathi reddy  (9 years ago)

Option 4) infinite

But satisfy this
C

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arvind  (9 years ago)

ans is opton 3. 1.....coz the value of c should be 6

Is this solution Helpfull? Yes | No (2)  

prashant sirohi  (9 years ago)

answer is option 1(6) as for the rational root to be integer the discriminant should be a perfect square and that happens at 6 instances(0,1,4,9,16,25) as c

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Romee Panchal  (9 years ago)

option 4 that is infinite solution

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arbaz hussain  (9 years ago)

infinite as c can take negative values too.

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ravi  (9 years ago)

ans is infinite bcz 5 can be written as
4+1,3+2,7-2,9-4..........................................
so any value of c can be infinite.

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kunal sinha  (9 years ago)

b^2-4ac must b a perfect square no..
5^2-4c must b a perfect square
c=6
only 1 value of c can satisfy above condition
ans=1

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soni kumari  (9 years ago)

for rational roots b^2-4a*c

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padam  (9 years ago)

for root to be rational D>0 and is a perfect sqaure
d=25-4c
for c=0,c=4,c=6 the condition satisfied

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