Latest Capgemini Aptitude Question SOLUTION: How many distinct pairs of b,c are possible such that the both the equations x^2+bx+c=0 and x^2+cx+b=0 have real roots? A.one B.two c.More than two d.None

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How many distinct pairs of b,c are possible such that the both the equations x^2+bx+c=0 and x^2+cx+b=0 have real roots?
A.one
B.two
c.More than two
d.None

Asked In Capgemini Kamalakarreddy (8 years ago)

Unsolved Read Solution (5)

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Read Solution (5) :

Gajendra  (7 years ago)

try (b,c)= (5,6) (7,8) (9,10)
all of these pairs satisfy b^2-4c>0 and c^2-4b>0 i.e. condition for real roots of quadratic.
Hence more than 2 pairs of b,c are possible.
option c. is correct

Is this solution Helpfull? Yes (11) | No (2)  

Manas Karmakar  (7 years ago)

for the real roots, b^2-4c>0 --------(i) and c^2-4b>0------------(ii)
using these two equations we get b>4 and c>4
these will help you to choose the values of b, c
now consider b=5,c=5 then those two equation do not get satisfied, so if we take b=5 and c=6 now the equations are satisfied....similarly (b,c)= (6,7) , (7,8), (8, 9), (9, 10) etc also satisfy the equations
as we are asked about the distinct pairs of b ,c , then (5,6),(7,8),(9,10) can be considered .....so option (c)more than two holds the correct answer

Is this solution Helpfull? Yes (5) | No (1)  

dhananjay  (8 years ago)

please provide solution without which it seems unhelpful

Is this solution Helpfull? Yes (1) | No (2)  

k santhoshi  (7 years ago)

subtract the two equations
x^2+bx+c=0
x^2+cx+b=0
=> x=1 satisfies the equation
one real root

Is this solution Helpfull? Yes (1) | No (4)  

gangadhara  (7 years ago)

one is the ans

Is this solution Helpfull? Yes | No (1)  

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