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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: THE KILLER SERIES IS BACK...fused_bulb......
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fused_bulb (233)

Blazing goIITian

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hi...guyz n galz...
 
The killer series is back.....n its time to switch ur bulbs on...lol
 
last time....i stopped at the 11th killer ques...so , 2 begin with , here is an
 
easy  12th one......
 
 
 
Q.   consider a quadratic Ax^2  +  Bx  +  C  = 0
 
It has two distinct positive integers as roots and  ( A + B + C ) is a prime no.
 
also , the quadratic takes the value (   - 55 ) for some  integral value
 
of   x ....  Evaluate the roots of the quadratic....
 
 
rating points -  4 salutes....
 
and as usual....those people are not invited who know from where to get the
 
solutions from some arbitrary resources ....

............tseb eht ma i
    

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fused_bulb (233)

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this should be bread and butter for all of you....c'monnn...

............tseb eht ma i
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fused_bulb (233)

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any doubts in the question...

............tseb eht ma i
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fused_bulb (233)

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is it dat tough....

............tseb eht ma i
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fused_bulb (233)

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shud i start givin clues...

............tseb eht ma i
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fused_bulb (233)

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its strange.....quadratic is such a simple topic....

............tseb eht ma i
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fused_bulb (233)

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the answer wud be revealed in 2 hrs..

............tseb eht ma i
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fused_bulb (233)

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Does  evrybdy give up......

............tseb eht ma i
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fused_bulb (233)

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ok....last offer....even the experts are invited.....

............tseb eht ma i
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lazycol (711)

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roots r 2&18

KINDLY RATE ME 4 MY EFFORTS PLZZZZZZZZZ.........
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gopal_duggirala (14)

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is the answer in terms of a,b,c?

what is 2+2=
(a)4
(b)four
(c)iv
(d)1+3
I always knew iit is so tough!!!!!
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fused_bulb (233)

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ok , lazycol is perfectly correct........

but for ratings....i want a proper proof....

............tseb eht ma i
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lazycol (711)

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its purely a logical proof
roots r +ve integers ie a=1
a+b+c is prime;b,c cant b 0
ie prime is odd;sum of 2 even no: & an odd;
so b&c r even ie roots r even
roots r integers means b2-4c is a perfect square
at x=an integer value of exp. is -55ie x2+bx+c-55 have integral sol
ie b2-4(c+55)is a perfect sq
so b2-4c &b2-4c-220 r perfect sq
dis works with 36&256
roots r (-b16)/2 = -b/28
roots r +ve b<-16&b is even
put b=-20,sol r 2&18
 

KINDLY RATE ME 4 MY EFFORTS PLZZZZZZZZZ.........
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