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Mr.IITIAN007 (2985)

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If  alpha , beta , gamma, are the roots of the equation :-
 
 
        a x3 +b x2 +c x + d = 0  then what is the equation whose roots are :-

  alpha - ( 1 / beta.gamma) , beta- ( 1 / alpha.gamma) , gamma( 1 / beta.alpha) ?

Ken
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Aatish (2303)

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areyyy yaaar pls writ the roots clearly..........

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Mr.IITIAN007 (2985)

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I have edited the question for clearance . Check this out .

Ken
From: UNITED STATES, Green Bay, Wisconsin
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CRUSADE (0)

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RATE ME

priyam@crusade
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Mr.IITIAN007 (2985)

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Why the hail should I rate you ? You haven't given the answer period !

Ken
From: UNITED STATES, Green Bay, Wisconsin
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shine (262)

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the ans is coming out to be
(ad^2) x^3 + bd(a+d) x^2 - c(a+d)^2 x + (a+d)^3
is it the right ans
if yes i 'll post the sol................ do rate my efforts
else plzzz post the correct one
thanks

there is no right way 2 do something wrong !!!!!!!!
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shine (262)

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nd yes since the solution is a bit lengthy to type
so plzzzz mr iitian007 do tell whts the right ans...
plzzzz


there is no right way 2 do something wrong !!!!!!!!
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lazycol (711)

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from given eqn,
++ = -b/a ; ++ = c/a ;  = -d/a
roots of req. eqn r (  - 1)/ ; (  - 1)/ ; ( - 1)/
consider l,m,n such dat they r reciprocals of abv 3
l+m+n = ( +  + ) /( - 1) = -c/(a+d)
lm+ln+mn = (++) *  / (  - 1) = -bd/(a+d)2
lmn = ()2 / ( - 1)3 = -ad2 / (a+d)3
eqn whose roots r l,m,n  is (a+d)3x3 + (a+d)2cx2 - bd(a+d)x + ad2 = 0
to obtain req, eqn change x 2 1/x
ad2x3 - bd(a+d)x2 + (a+d)2cx + (a+d)3 = 0
 

KINDLY RATE ME 4 MY EFFORTS PLZZZZZZZZZ.........
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pirate1_from_jee (596)

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ad2x3 + bd(a+d)x2 +c(a+d)2x +(a+d)3 = 0

Yaar, the numericals dt u cn see vl b n powers.
Is it crrct?????
Plz tl me.......
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Mr.IITIAN007 (2985)

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Actually I didn't know the answer , but seeing Lazycol's solution I am sure that is the correct answer.But shine and priya , you both have same answer but with defferent signs ...can you plz check your solutions once more..??You may be correct..!!

Ken
From: UNITED STATES, Green Bay, Wisconsin
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pirate1_from_jee (596)

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Yaar chk d results f cubic eqns.

         X3-S1x2 + S2x -S3 =0
Now is it okkkkkkkkkkkkkkkk????
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pirate1_from_jee (596)

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Arey kuc to bolo?????????????
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