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4 changes: 2 additions & 2 deletions src/complex.typ
Original file line number Diff line number Diff line change
Expand Up @@ -5,7 +5,7 @@
== [TEXT] It's a miracle that multiplication in $CC$ has geometric meaning

Let $CC$ denote the set of complex numbers (just as $RR$ denotes the real numbers).
It's important that realize that, *until we add in complex multiplication,
It's important to realize that, *until we add in complex multiplication,
$CC$ is just an elaborate $RR^2$ cosplay*.

#figure(
Expand Down Expand Up @@ -294,7 +294,7 @@ $ z^5 = 243 i $ to start.
Again, first we want to convert everything to polar coordinates:
$ z^5 = 243 i = 243 (cos 90 degree + i sin 90 degree). $
At this point, we know that if $|z^5| = 243$, then $|z| = 3$;
all the answers should have absolute $3$.
all the answers should have an absolute value of $3$.
So the idea is to find the angles.
Here are the five answers:

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