diff --git a/summer-notes-evan/src/0813-evan-talk.typ b/summer-notes-evan/src/0813-evan-talk.typ index c3040a8..a338b32 100644 --- a/summer-notes-evan/src/0813-evan-talk.typ +++ b/summer-notes-evan/src/0813-evan-talk.typ @@ -161,7 +161,7 @@ I'm going to show you yet another magic trick: how you can solve for $(x,y,z)$ in your head, too. The idea is to consider the polynomial whose roots are $3$ and $5$, namely -$ P(n) = (n-3)(n-5) = n^2 - 8 n + 15 $. +$ P(n) = (n-3)(n-5) = n^2 - 8 n + 15. $ Now the trick is that this polynomial has $P(3) = P(5) = 0$ by definition, and so $(x,y,z) = (1, -8, 15)$ will actually satisfy the second two equations! Indeed, $