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If x^2+3x+5=0a n da x^2+b x+c=0 have com...

If `x^2+3x+5=0a n da x^2+b x+c=0` have common root/roots and `a ,b ,c in N ,` then find the minimum value of `a+b+ c dot`

A

3

B

9

C

6

D

12

Text Solution

Verified by Experts

The correct Answer is:
B
`:'` Roots of the equation `x^(3)+3x+5=0` are non real.
Thus, given equations will have two common roots.
`impliesa/1=b/3=c/5=lamda`[say]
`:.a+b+c=9lamda`
Thus, minimum value of `a+b+c=9 [:' a,b,c epsilonN]`
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ARIHANT MATHS ENGLISH-THEORY OF EQUATIONS-Exercise (Questions Asked In Previous 13 Years Exam)
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  15. How many real solutions does the equation x^7+14 x^5+16 x^3+30 x-560=0...

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  16. Suppose the cubic x^(3)-px+q has three distinct real roots, where pgt0...

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  17. The smallest value of k, for which both the roots of the equation, x^2...

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  19. Let p and q real number such that p!= 0,p^3!=q and p^3!=-q. if alpha a...

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