23
qwerty
·2010-01-28 07:06:17
Q2 no solution ? except (0,11) ?
1708
man111 singh
·2010-01-28 07:17:42
but how can i solve it bcz ans = 0
it is in 1st quadrant...
23
qwerty
·2010-01-28 07:21:44
ok (0,11) isnt in first quadrant right ???
yup der will be no solution
see the reason is , Fermat's last theorem
according to this theorem ,
no 3 integers a,b,c where each > 0 ,
can satisfy the eqn an+bn=cn
for n >2
And i guess this question has been asked on this theorem only
23
qwerty
·2010-01-28 07:22:52
check this http://en.wikipedia.org/wiki/Fermat's_Last_Theorem
1708
man111 singh
·2010-01-28 07:27:53
actually this question is from FIIT-JEE QUIZ......
here we use
x^{3}-y^{3}=-1331 and the factorise
(x-y)(x^{2}+xy+y^{2})=-1331
here both x and y are Integer so
(x-y) and (x^{2}+xy+y^{2}) both are integer
1708
man111 singh
·2010-01-28 07:29:57
thanks for 2 one....
in Question (1) I got no solution but ans=1 solution.