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no. of positive integral solution of x^4 - y^4 = 3789108 a) 0 b) 1 c) 2 d) 4


no. of positive integral solution of   x^4 - y^4  = 3789108


a) 0


b) 1


c) 2


d) 4


Grade:

1 Answers

mycroft holmes
272 Points
11 years ago

Both x and y are even or both x and y are odd (i.e. x and y are of the same parity)

 

If, both x and y are odd, then since every odd square is of the form 8k+1, LHS is divisible by 8, whereas RHS is not.

 

If both x and y are even, then LHS is divisible by 16, whereas we have already seen that RHS is not divisible by 8 and hence not divisible by 16 too.

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