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ankur.kkhurana (922)

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eq. ax2 + bx +c =0 and
       3x2 +x-5 = 0 hav common root
then wat is value of 3a + b + 2c

plz ans .i dunno ans.


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aditya_arora04 (1077)

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Hi,
 
Is the answer 0 ???
 
just tell me so that i can write the solution.
 

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anishrox (31)

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dude the condition for a common root is
(c1a2-c2a1)square=(b1c2-b2c1)(a1b2-b1a2)

u get the big eq manipulate and get the nas..i think it will cme out to be 0

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ankur.kkhurana (922)

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aditya i had test today .so idon't know asn .Result will be out on monday i will by then only ans not solution

adversities cause some men to break other to break records............i m of the other type....... :-)
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ankur.kkhurana (922)

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aditya plz post ur reply

adversities cause some men to break other to break records............i m of the other type....... :-)
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ankur.kkhurana (922)

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not getting ans by anishrox method i tihnk plz post method or tell me if ur sure

adversities cause some men to break other to break records............i m of the other type....... :-)
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him26.89 (207)

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ans is 0.
soln : -
let t be the common root.
at2 + bt +c = 0 = 3t2 + t - 5.
 on compairing ,
a = 3, b = 1 & c = (-)5.
hence the ans is 0. 
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amar.gupta (590)

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Dear,
 let the roots be t1,t2

so from eq. [1]

t1+t2= - b/a and t1 t2 = c/a

and from [2] :

t1+t2= - 1/3 and t1 t2 = - 5/3

so   b/a =1/3 or a=3b

and c/a = - 5 /3 or 3c = - 5 a

or 3c = -15b or c= -5b

then finally a=3b and c= - 5b

then 3a + b + 2c= 9b +b -10b=0

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ankur.kkhurana (922)

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thanx sir u r superb

adversities cause some men to break other to break records............i m of the other type....... :-)
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neeraj_agarwal_1990 (887)

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HEy...the Q was they have 'a' common root...
so only one root is common and not both...
(ankur...u hv typed wrong)
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