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math: add Quadratic equation factoring trick

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This commit is contained in:
Kim, Jimin 2025-05-20 15:22:57 +09:00
parent 84afad7a31
commit 006518654b
Signed by: pomp
GPG key ID: D3932F82A0667A3B
2 changed files with 22 additions and 1 deletions
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1
.vscode/settings.json vendored
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@ -21,6 +21,7 @@
"nixpkgs",
"opentype",
"pagebreak",
"pinit",
"pkgs",
"pompydev",
"qrcode",

22
src/math/math.typ
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@ -1,5 +1,7 @@
#import "../_lib/cover.typ": cover
#import "@preview/fletcher:0.5.7": diagram, node, edge
#import "@preview/fletcher:0.5.7"
#import fletcher: diagram, node, edge
#import "@preview/pinit:0.2.2": *
#set page(
width: 90mm,
@ -116,3 +118,21 @@ $
(a±b)^3/*********/ &= a^3±3a b(a±b)±b^3\
/****************/ &= a^3±3a^2b+3a b^2±b^3\
$
#pagebreak()
=== Quadratic equation factoring trick
$
& 2x^2-7x /*****************/ & /***********************/ + & 3 /************/ & & /**************/ \
& #text(red)[ $2$] #pin("ul") & #pin("ur") #text(red)[ $-$] & #text(red)[ $1$] &=& #text(olive)[-1] \
& #text(blue)[$1$] #pin("ll") & #pin("lr") #text(blue)[$-$] & #text(blue)[$3$] &=& #text(olive)[-6] \
$
#pinit-arrow("ul", "lr", start-dy: -4pt, end-dy: -4pt, thickness: 0.5pt, arrow-width: 10)
#pinit-arrow("ll", "ur", start-dy: -4pt, end-dy: -4pt, thickness: 0.5pt, arrow-width: 10)
$
space.quad & = (#text(red)[$2x-1$])(#text(blue)[$x-3$])\
space.quad & = 2x^2+(#text(olive)[$-6-1$])x+3
$