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windsylph

  • 3 years ago

Complex Functions: What is the magnitude of 1+ix?

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  1. windsylph
    • 3 years ago
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    I know that the answer is 1 + x^2, but I keep on thinking that it is 1-x^2 because i^2 = -1.. Can someone please explain this to me?

  2. matricked
    • 3 years ago
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    for a+ib mgnitude of a+ib is denoted by |a+ib| and it is given by sqrt(a^2+b^2)

  3. windsylph
    • 3 years ago
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    sorry, i forgot the square root.. but where did the i go?

  4. windsylph
    • 3 years ago
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    oh wait i got it, never mind, thank you. i is just there to denote that it is imaginary, so the magnitude still turns out to be sqrt(a^2+b^2) by the pythagorean theorem

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