9hint only
k is odd for the func to be polynomial
try to derive that
after that take x of form r/t sub in eq and disprove that their sum cant be even ie 0
surely has to be a fiitjee q am i right
10 Answers
62(1-x2k)/(1-x2) x (1-x)/(1-xk)
=(1+xk)/(1+x)
Now for the above to be a polynomial, k has to be odd and positive
so both p and q are positive odd numbers...
now can u make mroe sense of the solution?
62that can be done by finding D
You will have to make some conclusion about the value D when P and Q are odd.
1D = p2-60q
well !!
anyway how did u get (1-x2k)/(1-x2) x (1-x)/(1-xk)
forgive if stupid question
99ah by the time i typed nish had already posted wat i had in mind
62@philip that is by the sum of a geometric progression divided by another sum...
@tapan...
P is 2m+1 and Q is also 2n+1
you have taken it as even.. when it should be odd..
do
D2= p2-4.3.5q
D is odd because p is odd
difference in the squares of 2 odd numbers is 8k if i remember properly...
here the difference is only a multiple of 4 not 8.. hence D cannot be a perfect square..
Hence It cannot be rational..
21BINGO CELE!!!!
U ROCK IN BOTH MATHS N GUESSING INSTITUTES........ LOL.......
I'LL WORK OUT FRM DA HINT U GAVE.....
EARLIER I WAS TAKIN K AS EVEN SO CUDNT GET NETHING.......