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Question

Find the number of integral solutions of the equation p2=388+q2
  1. 3
  2. more than 3
  3. 0
  4. 1
  5. 2


Solution

The correct option is B more than 3

option (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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