Question
Find the number of integral solutions of the equation p2=388+q2.
Answer: Option D
:
D
The equation can be rewritten as p2−q2=388 or (p+q)(p-q) = 388.
The number of ways in which 388 can be expressed as a product of two numbers such that p and q are integral is 4, i.e. (−194)×(−2), 194×2,(−2)×(−194) and 2×194.
Therefore, the number of integral solutions is 4.
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:
D
The equation can be rewritten as p2−q2=388 or (p+q)(p-q) = 388.
The number of ways in which 388 can be expressed as a product of two numbers such that p and q are integral is 4, i.e. (−194)×(−2), 194×2,(−2)×(−194) and 2×194.
Therefore, the number of integral solutions is 4.
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