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  • The number of positive integral solution of x^4-y^4=3789108 is

The number of positive integral solution of x^4-y^4=3789108 is

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Solution:

RHS is even number

So , LHS is an integer

SO , either both x and y are even integers , or both of them are odd integers

\ecause x^4-y^4=(x-y)(x+y)(x^2+y^2)

Therefore ,\(x-y)(x+y)(x^2+y^2) Must be divisible by 8

But RHS is not divisible by 8

Hence , the given equation has no solution.

Posted by

Deependra Verma

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