1
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Question

# Find the number of integral solutions of the equation p2=388+q2

A
1
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B
2
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C
3
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D
more than 3
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Solution

## The correct option is D more than 3option (e)the equation can be rewritten as p2-q2=388. the number of ways in which 388 can be expressed as difference of squares in one way as 388 is a prime multiple of 4 ( 4 x 97). However, since the question is about integral solutions, the total number of ways in which it can be expressed will be 4 (2 cases for p, positive and negative and 2 cases for q)

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