i = 1/i ? | Mathematics | Page 1

icy veldt Oct 22, 2023, 5:37 PM

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Where is the error?

rapid graniteBOT Oct 22, 2023, 5:37 PM

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rapid cliff Oct 22, 2023, 5:43 PM

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monkey

tepid flax Oct 22, 2023, 5:53 PM

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This only holds for positive numbers.

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quartz lodge Oct 22, 2023, 6:01 PM

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What the guy above said, although it also holds for zero so maybe non-negative is the better term to use here and check out this wiki for more info on why this is true in complex analysis https://en.wikipedia.org/wiki/Square_root#Principal_square_root_of_a_complex_number

Square root

In mathematics, a square root of a number x is a number y such that

      y
      
        2
      
    
    =
    x
  

{\displaystyle y^{2}=x}

; in other words, a number y whose square (the result of multiplying the number by itself, or

    y
    ⋅
 ...

tepid flax Oct 22, 2023, 6:02 PM

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It does hold for zero, but I omitted it for division.

quartz lodge Oct 22, 2023, 6:03 PM

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true, zero can't be the denominator of a ratio

icy veldt Oct 22, 2023, 6:03 PM

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i thought it was false only if both numbers were negative

quartz lodge Oct 22, 2023, 6:04 PM

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not in this context at least

wise lynx Oct 22, 2023, 6:05 PM

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#i = 1/i ?