- #1

Izy Amisheeva

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- TL;DR Summary
- I ran into a little problem trying to solve the (√x )+ 1 = 0 equation.

**Summary:**I ran into a little problem trying to solve the (√x )+ 1 = 0 equation.

Obviously there will be no solution in R, so I tried the following

(√x )+ 1 = 0

e

^{i α/2}= e

^{i π}

i α / 2 = i pi

so: α = 2 pi

so the solution will be e

^{2 i π}

This solution actually works when replaced in the equation.

The question is:

e

^{2 i π}works, but 1 which is the same does not work, just as e

^{4 i π}does not work either.

It seems that of the infinite possibilities of complex representation of 1 only one of them is solution!

Anyone could explain this?

Tanks

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