Question

Is there any pair of integers (x,y) satisfying x2 - y2 = 1234 ?
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Answer 1

${\huge {\mathfrak {Answer :-}}}$

Here, to solve this problem, you first need to know one thing.

⚠️The difference between the squares of two integers is either an odd number or a multiple of 4.

Since, 1234 is neither odd, nor a multiple of 4.

⚠️ Therefore, the situation is not possible.

Hence, there are no such pairs of integers (x, y) satisfying x^2 - y^2 = 1234.

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Answer 2

Step-by-step explanation:

Here, to solve this problem, you first need to know one thing.

⚠️The difference between the squares of two integers is either an odd number or a multiple of 4.

Since, 1234 is neither odd, nor a multiple of 4.

⚠️ Therefore, the situation is not possible.

Hence, there are no such pairs of integers (x, y) satisfying x^2 - y^2 = 1234.

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