this post was submitted on 23 Aug 2023
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[โ€“] [email protected] 35 points 1 year ago (9 children)

Well let's break it down:

  • ๐Ÿ” + ๐Ÿ” + ๐Ÿ” = 18
    • 3๐Ÿ” = 18
    • ๐Ÿ” = 6
  • ๐Ÿ” + (๐ŸŸ โ€ข ๐ŸŸ) = 5
    • 6 + ๐ŸŸ^2 = 5
    • ๐ŸŸ^2 = -1
    • ๐ŸŸ = I
  • ๐Ÿฅค^๐ŸŸ - ๐Ÿฅค = 3
    • ๐Ÿฅค^i-1 = 3
    • ๐Ÿฅค = 3^1/(i-1)

Simple!

[โ€“] [email protected] 27 points 1 year ago (2 children)

Wait, what happened in the second to last bullet point? You can't convert a power like that when subtracting (you can when dividing).

It's like you'd convert "2^4 - 2" into "2^(4-1)", which gives two different results (14 vs 8).

[โ€“] [email protected] 11 points 1 year ago* (last edited 1 year ago)

For those curious, I threw ๐Ÿฅค^i - ๐Ÿฅค = 3 into wolfram.

๐Ÿฅค โ‰ˆ -2.97983 + 0.0388569 i... or ๐Ÿฅค โ‰ˆ 0.27972 - 0.748461 i...

[โ€“] [email protected] 3 points 1 year ago

You're right, idk what I was thinking there ๐Ÿ˜•

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