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Question

Write the rational numbers that are equal to their reciprocals.


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Solution

Determine the rational numbers that are equal to their reciprocals.

The rational number would seem to have the form pq, where p and q are integers and q is not equal to 0.

Let x be a rational number that is xQ.

As per the given question,

x=1xx2=1x=±1

Hence, the rational numbers equal to their reciprocal are 1and 1.


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