Q. Find an infinite set of integers x any y such that . Write answer in terms of the arbitrary integer L (Lambda, hehe).
Here's what I've got:
(i) First find HCF
(after euclidean algorithm) = 1.
(ii) Find x and y integers
1=203-202
1=203-(4770-4669)
1=(24)203-4770
1=24(4973-4770)-4770
1=24(4973)-25(4770)
1=24(4973)-25(9743-4973)
1=24(4973)-25(9743+25(4973))
1=40(4973)+9743(-25)
So x = 29 and y = -25 (it is already wrong, LHS does not = RHS)
But I persisted
(iii) X = 49 + 9743L (lambda), Y=-25-4973L
eg let L = 100
Oh dear it's wrong :C
Any help on this? I think I stuffed up during the arithmetic, as usual