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Today, 05:47

How many numbers

are reciprocal of themselves?

+1
Answers (1)
  1. Today, 07:45
    0
    two: + 1 and - 1

    Step-by-step explanation:

    If a number is equal to its own reciprocal, it will satisfy the equation ...

    x = 1/x

    Multiplying by x and subtracting 1 gives ...

    x^2 - 1 = 0

    This factors as ...

    (x - 1) (x + 1) = 0

    By the zero product rule, the solutions are those values of x that make one or more factors zero:

    x = 1

    x = - 1

    There are two self-reciprocals.
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