1
Bicchuram Aveek
·2009-09-01 01:29:47
3 real roots - a,b and c. Am I right ?
62
Lokesh Verma
·2009-09-01 01:32:11
aveek.. can a quadratic equation have 3 real roots?! :O
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Lokesh Verma
·2009-09-01 01:34:37
to be more lucid.. what does this show? (The above equation is not a quadratic equation?)
Actually you got into the trap of the question.. and after getting that answer that you did, something must strike you!
1
Bicchuram Aveek
·2009-09-01 01:39:32
Most true . Then it's not an equation but an Identity. Right ?
62
Lokesh Verma
·2009-09-01 01:53:13
Bingo :)
Lets hope that the others take a cue from this trick.. and I will post the next question.. (open for everyone but aveek :) :D
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Lokesh Verma
·2009-09-02 05:51:44
No one else!! I thought this was really important for beginners to understand polynomials and quadratics...
Neone other than Aveek, please give the complete proof.. (just read teh posts 2,3,4,5 )
11
virang1 Jhaveri
·2009-09-02 06:33:36
The roots are 3 and they are a,b,c
See
According to langeranges interpolation
F(x) = (x-a)(x-b)F(c)/(c-a)(c-b) + (x-c)(x-b)F(a)/(a-c)(a-b) + (x-a)(x-c)F(b)/(b-a)(b-c)
Now in the above equation F(c) = F(a) = F(b) = 1 and hence the root of the above equation will be a,b,c
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Lokesh Verma
·2009-09-02 06:53:55
Virang there is more to it..
read #3 again!
24
eureka123
·2009-10-08 10:08:45
I odnt get what are we discussing here..............
putting x=a,x=b,x=c gives the expression zero..so its not an eqn..its an identity.......
and can have any number of roots..
1
xYz
·2009-10-08 19:44:11
it is not a quadratic equation
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Lokesh Verma
·2009-10-08 21:10:05
So what is it? and y do you only think?
there have been 3-4 questions of the same kind put here.. may be u were all not reading them or understanding them :(
23
qwerty
·2009-10-09 03:42:24
its an identity ..as simple as dat ....
its like a2 -b 2 = (a+b)(a-b) is an identity ...same is dis ....
39
Dr.House
·2009-10-14 05:50:16
already this one had a healthy discussion here, not able to give the old link as of now...
anwyays nishant sir .. everyr eal number is a root of this equation thats is what it means.
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Dr.House
·2009-10-14 05:51:35
a famous q.. i guess in arthur enge...