super. nope my method was longer so i posted here :P
p(x) = x5 + x2 +1 have roots
x1 , x2,x3,x4,x5.
g(x) = x2-2. then the value of
g(x1).g(x2).g(x3).g(x4).g(x5) - 30g(x1.x2.x3.x4.x5) is ?
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UP 0 DOWN 0 0 6
6 Answers
man111 singh
·Mar 18 '12 at 7:41
May be some other beautiful Method, So Rishab if you have so plz post here.
Thanks
Hari Shankar
·Mar 19 '12 at 1:06
and x1x2x3x4x5=−1
the given expression equals
g(√2)g(−√2)−30g(−1)=7
rishabh
·Mar 19 '12 at 2:49
@hsbhat sir i guess there's a typo in your post. g(√2) = 0 ...
btw, how do you get anything of that sort directly?
Hari Shankar
·Mar 20 '12 at 4:54
sorry, i meant p(√2)p(−√2)−30p(−1)=7
I use p(x)=(x−x1)(x−x2)(x−x3)(x−x4)(x−x5)
So
(x1−√2)(x2−√2))(x3−√2)(x4−√2)(x5−√2)=−p(√2)
Now you can finish