#competition-math

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silk ledge
#

wrong reply

#

oops

inland totem
#

ye the books are great

ashen hatch
#

oh i see

inland totem
#

especially topic-specific ones

#

i have one open rn ๐Ÿ˜ญ

ashen hatch
#

oh wow

#

i see

#

oh i found that, igs ill try it

#

hopefully its not too hard

#

guess ill use spring break and like half of summer break to lock in for amc10

inland totem
#

hmm

fringe prism
#

rip

inland totem
#

we're all qualing jmo guys

#

js believe

ashen hatch
fringe prism
silver forge
#

lol

coarse comet
fringe prism
#

LOL

coarse comet
fringe prism
swift imp
#

how did yall do

#

on amo

coarse comet
coarse comet
silk ledge
#

american math olympiad

swift imp
#

american math olympiad

#

or australia ig

silk ledge
#

isnt it like a 2 day test or sum

coarse comet
coarse comet
silk ledge
coarse comet
swift imp
#

basically studying integers

fringe prism
fringe prism
#

if u include jmo

coarse comet
fringe prism
coarse comet
coarse comet
fringe prism
coarse comet
fringe prism
long garden
#

and younger

coarse comet
long garden
#

its basically well

#

anyone 10th or younger can get in

coarse comet
long garden
#

like if you were a really locked in 4th grader you could get in

#

yes

coarse comet
long garden
#

proofs

thorny tusk
#

math

coarse comet
inland totem
thorny tusk
#

yea

inland totem
#

i should rly be focusing on my mock breadpensive

fringe prism
coarse comet
silk ledge
inland totem
#

yep

#

i js chose a random one

silk ledge
#

yea im reviewing all of alg rn

#

i jus realized how much dumb shit i forgot

fringe prism
#

(a-b)(a+b) =a^2-b^2

#

๐Ÿ˜ฒ

spark scaffold
#

(a-b)(a^2+ab+b^2) =a^3-b^3

fringe prism
coarse comet
coarse comet
fringe prism
coarse comet
spark scaffold
inland totem
#

ye

fringe prism
#

ye

thorny tusk
fringe prism
silver forge
fringe prism
#

Gg.

silver forge
#

its easy i promise

#

I already solved it

thorny tusk
#

is that

#

euclid

silver forge
#

fryer

thorny tusk
#

or fryer

silver forge
#

grade nine

thorny tusk
#

yea

silver forge
#

im practicing it

#

i can do all 4 besides the last subsection in 4

#

last one takes too much time

thorny tusk
#

if i just practice euclid

#

do i need to practice galois

#

?

silver forge
#

wdym

#

depends on which one your doing

#

practice the one your gonna do duh

thorny tusk
#

both

#

duh

silver forge
#

then do both

#

duh

thorny tusk
#

o

#

but

#

im too lazy

thorny tusk
#

idk

silver forge
#

dumbass

thorny tusk
#

yoo

#

thats not nice

inland totem
silver forge
inland totem
#

ohhh

#

i was wondering

thorny tusk
#

yea i've never used a theorem named after galois

#

or learned

silver forge
inland totem
#

but i don't understand them

silver forge
#

Everyone doesnt take their time with math

#

They just rush everything

thorny tusk
#

:||

silver forge
#

I would rather strengthen core concepts

thorny tusk
#

whats ur point here

inland totem
#

hmhm

silver forge
thorny tusk
#

chill

inland totem
#

wut

soft vigil
thorny tusk
#

fr

coarse comet
#

?

soft vigil
#

yeah

#

Trust me

inland totem
#

ye u gotta read to do math

kind pulsar
# silver forge

Formula:
k(t) = t - (t/5)
k(t) = โ…˜t
where:
k(t) = number of terms up to t
t = the last term of the sequence

a) 6th multiple of 5 = 6ร—5=30
(30-1) - (6-1) = 29 - 5 = 24
b) 2019 - floor(2019/5)
= 2019 - 403
= 1616
c) 200 = โ…˜t
t = (5/4)ร—200 = 250
250/5 = 50
5, 10, 15, ..., 5ร—50=250
5 + 10 + 15 + ... + 250
= 5(1 + 2 + 3 + ... + 50)
= 5ร—50(50+1)/2
= 125(50+1)
= 6375
250(250+1)/2 - 6375
= 125(250+1) - 6375
= 31375 - 6375
= 25000

inland totem
#

hmm

thorny tusk
#

thats wat took 6 years to type

severe eagle
#

thanks

#

@fringe prism im gonna attempt usamo problems

#

they came out an hour ago

#

i might be cooked

#

i hope your usajmo went well

thorny tusk
silver forge
kind pulsar
silver forge
#

i cant send imgs?

#

haha loophole

#

@kind pulsar here is my solution, sorry for the bad formatting

thorny tusk
#

is mr birdy part of the solution

silver forge
#

You dont need complicated solutions

inland totem
#

hmmm

silver forge
#

I literally wrote it

#

so i am apart of the solution

#

@kind pulsar just use grade nine math

thorny tusk
#

arent b and c full solution

silver forge
#

I just do full solution for all of them

silver forge
inland totem
#

js bash

#

trust

thorny tusk
#

bash wut

silver forge
#

You dont need bashing gng

soft vigil
#

almost nobody solved

thin pumice
severe eagle
#

i do amo first

soft vigil
#

trust me

severe eagle
#

i might time myself

#

sir

#

is it a geom

soft vigil
#

it is harder than everything on amo

#

yes

severe eagle
#

ooh

soft vigil
severe eagle
#

ok ill take a look

severe eagle
#

๐Ÿฅ€

soft vigil
#

i talked to some people who took amo and they didnt get the same problem

severe eagle
#

i think

#

idk my friend just sent me that and said it was usamo p3

soft vigil
#

huh

severe eagle
soft vigil
#

wait what

silver forge
soft vigil
#

amo p3 is just buffed jmo p3

kind pulsar
severe eagle
silver forge
#

no formulas are needed tho

kind pulsar
silver forge
#

Oh well

#

the gauss addition thing

#

arithmetic series summation

#

thats the only one you really need

kind pulsar
#

right

silver forge
#

Are you gonna do the fryer math contest

kind pulsar
silver forge
#

also you need your teacher to sign up for it

kind pulsar
fringe prism
#

rip

silver forge
#

graduated?

fringe prism
#

no prolly like before achool

#

lol

#

LOL

silver forge
#

HAHAHAHAHAHHAHAHAHAHA HILARIOUS

kind pulsar
silver forge
kind pulsar
#

thanks

fringe prism
fringe prism
thorny tusk
#

how was jmo

#

@fringe prism

fringe prism
#

Prolly a 3/6

#

canโ€™t tell if I cooked or sold

soft vigil
fringe prism
soft vigil
#

total is 42

fringe prism
#

I mena liek wuestions I got

soft vigil
#

u solved 2 on day 1?

fringe prism
#

no 1 but maybe 2 on days 2

#

Day*

sturdy knoll
#

wait whatโ€™s jmo

soft vigil
#

huh

sturdy knoll
#

japan math olympiad?

soft vigil
#

Usajmo

sturdy knoll
#

oh

#

dangg he made usajmo

#

thatโ€™s tuff

soft vigil
#

So tuff

fringe prism
#

bruh tuff = imo

#

Or mop

sturdy knoll
#

wait is usajmo amc 10

#

or 8

soft vigil
#

10

sturdy knoll
#

like the round before

fringe prism
#

10

soft vigil
#

Amc10 then aime then jmo

sturdy knoll
#

dang

#

thatโ€™s finna me bext year

#

trust

soft vigil
#

Good luck

thorny tusk
sturdy knoll
#

(bombed amc 10 this yearโœŒ๏ธ)

thorny tusk
#

i think thats good

soft vigil
#

i got cooked by day 1 ๐Ÿ’€

fringe prism
thorny tusk
thorny tusk
soft vigil
#

Got half of p2 cause i didnt read distinguishable

thorny tusk
#

...

soft vigil
#

p1 was so simple ๐Ÿ’€

#

And p3 i soent 3 hours no progress

#

Someone did a 5 page complex bash

soft vigil
sturdy knoll
#

oh

soft vigil
#

Now we pray for fe

soft vigil
#

Yea

thorny tusk
thorny tusk
soft vigil
#

Yes

thorny tusk
#

what was the problem

#

did u have to prove somethn

soft vigil
#

Its on aops

fringe prism
#

hi

fringe prism
thorny tusk
#

i dont see it

daring sparrow
#

jamo

thorny tusk
#

huh

fringe prism
#

friend

daring sparrow
#

Let $T_n$ be the Chebyshev polynomial of the first kind; that is, it is the unique polynomial that satisfies [T_n(\cos\theta)=\cos n\theta] for all real numbers $\theta$. Show that [2T_n\left(\frac{x+\frac1x}2\right)=x^n+\frac1{x^n}] for all nonzero complex numbers $x$.

gilded haloBOT
#

literally anything

fringe prism
#

GG

severe eagle
#

im trying it now

#

what in the

#

this tangency point is elusive ahh

severe eagle
#

but wtf bro

#

i conjectured ||if YZ intersect BC = X, then AXT collinear|| but my other diagram said no

#

๐Ÿฅ€

#

tf is this point bro

#

also shooting lemma looks quite skibidi

fringe prism
#

RIPPP

#

o shoot fried

umbral glen
balmy brook
inland totem
viral sierra
inland totem
#

wait ts isn't actually that hard

#

it js looks demonic

rugged solstice
#

true

rugged solstice
inland totem
#

yes it does

severe eagle
#

i appreciate a good work of art

untold wing
#

WHY

#

UR BIO

thorny tusk
silver forge
#

does anyone want an interesting linear equations math contest problem

inland totem
#

hmmm

silver forge
#

I think the older versions of fryer are easier

severe eagle
#

WHY DID YOU HAVE TO SAY THAT

#

๐Ÿฅ€

inland totem
#

hmm

silver forge
#

lol

daring sparrow
#

who mitted and qualed usa(j)mo

rugged solstice
inland totem
#

and that other dude

severe eagle
#

@soft vigil im cooked

#

i cannot solve usamo p3

#

after almost an hour i have almost 0 progress

#

๐Ÿฅ€

#

๐Ÿ˜ญ

#

i looked for a hint and this was the first line

daring sparrow
#

ORZ

#

@fringe prism=orz

inland totem
#

ik

jaunty ginkgo
#

I hate geo since

broken dove
#

plzplzplz help

inland totem
#

try to derive a new solu (in terms of m & n) from the simplest case u can think of

fringe prism
daring sparrow
inland totem
daring sparrow
#

did you mitte or sell on jmo

inland totem
#

scores are alr out?

daring sparrow
#

parent banned

#

from aops

inland totem
#

u were banned from aops?

fringe prism
daring sparrow
#

better than what i can do breadpensive

#

i not miter

inland totem
#

js gotta believe

#

and grind ofc

daring sparrow
fringe prism
#

(best emoji)

daring sparrow
#

read my blo.g

#

self promote

#

read my blog

inland totem
#

what blog

#

on where

daring sparrow
#

aops

inland totem
#

hmmmm

#

maybe later

daring sparrow
#

self pormetion

inland totem
#

woah

daring sparrow
inland totem
#

chebyshev polynomials rah

daring sparrow
inland totem
#

ooh complex analy

#

ooh graph theory

daring sparrow
daring sparrow
inland totem
#

"W NADAT MY GLORIOUS KING" -some guy

daring sparrow
inland totem
daring sparrow
#

bro called category theory graph theory

inland totem
#

cat theory

#

hmmm

inland totem
daring sparrow
#

anything but doing mocks ๐Ÿ˜‚๐ŸŽ‰

inland totem
#

then do millenium prize problems

daring sparrow
#

67

inland totem
#

i could forward the thing u sent

#

a while back

#

if i found it

daring sparrow
#

uh the reyman hipothesis is indepdenece of zfc ๐Ÿ˜Ž

inland totem
#

sure why not

#

oh ur rly trying to get helpful role

#

hmmmmm

daring sparrow
#

what

inland totem
#

dw abt it

#

go say 67

fringe prism
daring sparrow
viral sierra
inland totem
#

hmm

fringe prism
viral sierra
fringe prism
viral sierra
fringe prism
viral sierra
fringe prism
barren anvil
#

jmo ๐Ÿ˜ฎ

#

how make

inland totem
#

by doing math

barren anvil
#

\

cyan salmon
#

what is jmk

#

jmo

ivory ember
fringe prism
daring sparrow
#

jamo mfs after citing the most random ass theorems in oly geo

cyan salmon
#

Oh i thouggt it was junior mathematical olympiad from uk

fringe prism
#

Ukajmo

#

LOL

sturdy knoll
#

i thought it was japan math olympiad

cyan salmon
#

Which is harder jmo uk or jmo america?

fringe prism
#

japanese*

silver forge
#

Then what are you

thorny tusk
fringe prism
#

im human

inland totem
#

i js used linear alg to solve an aime problem

#

overkill

twin saddle
#

anybody know how long it takes for math kangaroo results to come back

viral sierra
inland totem
#

oh ye p9

#

on that one

viral sierra
# inland totem oh ye p9

or you know like that one. aime p12 which is a bunch of 3d cordbash. I think it was in like the past 5 yrs

viral sierra
#

no anothr one ๐Ÿ˜ญ

inland totem
#

huh

#

very similar problems ig

viral sierra
#

o wait i think it was 2025

#

Where i spent 45 minutes trying to bash

inland totem
#

i might do that later

viral sierra
#

you should

#

nah its js that mostt aime p12s are geo

inland totem
#

hmmm

fringe prism
#

hmmm

fringe prism
viral sierra
twin saddle
#

Anyone did the kangaroo math competition today?

viral sierra
thin pumice
fringe prism
#

friend*

viral sierra
fringe prism
viral sierra
fringe prism
viral sierra
fringe prism
frank hornet
#

soooo harrdddd

viral sierra
frank hornet
#

๐Ÿ˜ญ๐Ÿ˜ญ

fringe prism
viral sierra
fringe prism
viral sierra
fringe prism
#

LOLLLL

silver forge
#

zelix are we deadass

#

you just LOLโ€™ed the same thing twice

inland totem
#

hi

fringe prism
fringe prism
#

friend

frank hornet
#

hi

fringe prism
frank hornet
fringe prism
frank hornet
fringe prism
#

o thanks for asking

#

no problem friend

frank hornet
#

yup. bye friend

silver forge
#

Zelix is so wholesome for befriending everyone

twin saddle
frank hornet
#

wbu

twin saddle
#

7-8

#

Mines was hard too... Much harder than the practice tests

vivid steppe
frank hornet
frank hornet
fringe prism
soft vigil
fringe prism
#

it was liek alr ig

long garden
#

this server should get a blobheart

inland totem
fringe prism
thorny tusk
fringe prism
viral sierra
viral sierra
soft vigil
viral sierra
#

Is anyone able to add emoji?

inland totem
soft vigil
fringe prism
swift imp
inland totem
#

uhhh

#

@daring sparrow you've met ur match

fringe prism
#

(rest of my gifs are too sus)

silver forge
remote phoenix
#

Let's please keep the chat on topic

silver forge
#

and you get a bunch of non usable gifs

remote phoenix
silver forge
#

Noone was talking that much anyways

#

Stop taking it so seriously

inland totem
#

he's a mod

swift imp
#

Ok

fringe prism
#

LOLLLLLLLLLLL

swift imp
#

Who wants to do some maths

inland totem
#

meh

#

it's late

soft vigil
#

im done with maths for the day

silver forge
inland totem
#

ikr

fringe prism
#

bruh viol n time

inland totem
#

hmm

fringe prism
#

violin > chem > math

inland totem
#

and ur still orz enough to get into jmo

#

twice

fringe prism
#

im ranking in order of fun ness

inland totem
#

oh ok

#

hmmm

soft vigil
swift imp
#

What is $2^{1234567} \mod 7$

gilded haloBOT
#

kate (โˆž*๐Ÿˆ)

swift imp
#

Quick quick quick

soft vigil
inland totem
#

huh

#

what's going on

inland totem
silver forge
#

what is mod 7

inland totem
#

modular arithmetic

#

kinda like remainder ig

silver forge
#

no idea

inland totem
#

it's cool

zinc ridge
fringe prism
soft vigil
#

2^3 = 1

zinc ridge
#

or

inland totem
#

it's a 3 cycle

zinc ridge
#

n/a

inland totem
#

hmmm

swift imp
#

What are all integer solutions to $x^2 \equiv 1 \pmod{91}$

gilded haloBOT
#

kate (โˆž*๐Ÿˆ)

soft vigil
#

+-1

#

and theres 2 more

inland totem
#

maybe

swift imp
#

91 isnโ€™t prime btw

soft vigil
#

Yeah

#

+-1 mod 7 and 13

#

4 solutions

swift imp
#

Me still thinking 91 is prime to this day

inland totem
#

i've been forced to realize 7*13=91

swift imp
#

I learnt that the hard way

soft vigil
#

Should be like

#

27 mod 91

#

and -27

#

Which is 64

swift imp
#

Thx for checking my homework questions yall opencry opencry opencry opencry opencry

inland totem
#

uhhhh

swift imp
#

Kidding I already submitted it

inland totem
#

hmm

swift imp
#

My discrete ah class homework

inland totem
#

discrete math rah

swift imp
#

Yeaaa

#

I have to do my analysis homework still

soft vigil
#

wgat even is discrete matg

swift imp
#

Number theory is more fun

inland totem
#

complex or real?

soft vigil
#

Is ot js nt

thorny tusk
swift imp
inland totem
#

geo > nt

swift imp
#

Logic

thorny tusk
zinc ridge
#

number theorys hord

swift imp
#

Logic, proofs, number theory, combinatorics, graph theory, trees, uh

#

Stuff like that

zinc ridge
#

graph theory

inland totem
#

graph theory is cool

swift imp
#

Geometric topology

thorny tusk
inland totem
#

ooh

swift imp
#

Other stuff

#

Etc etc

inland totem
soft vigil
#

NT is like being in solitary confinement

thorny tusk
swift imp
#

NT is peak

#

Numbers are so ๐Ÿ˜

inland totem
#

so many nt glazers

thorny tusk
swift imp
#

If u glaze geometry ๐Ÿˆ

#

๐Ÿฅ€

soft vigil
thorny tusk
swift imp
#

So may kids

#

Children

inland totem
#

i'm patrice guys

#

trust

thorny tusk
#

hi patricia

soft vigil
swift imp
#

Mrrrrp!

thorny tusk
#

are you a patrick?

swift imp
#

Guys talk about maths

#

This is not a general channel donโ€™t get in trouble

thorny tusk
#

o ok

swift imp
#

Letโ€™s calculate the area of Patrick

soft vigil
thorny tusk
#

a^2 + b^2 = c^2 :DDD

inland totem
swift imp
soft vigil
inland totem
#

c^2=a^2+b^2-2abcos(C)

#

wait did i

thorny tusk
inland totem
#

ok

swift imp
#

Triangle inequality shows up everywhere

soft vigil
inland totem
fringe prism
inland totem
#

he's in 8th

#

a total unc

thorny tusk
swift imp
#

If 8th is unc

thorny tusk
#

less than 8th

zinc ridge
#

wait

soft vigil
swift imp
#

Thatโ€™sโ€ฆ not legal

inland totem
#

goo goo ga ga

zinc ridge
#

i got a 16

zinc ridge
#

fr

soft vigil
#

genuinely do not know what that aaid

zinc ridge
#

if im the one who thinks, who processes the thoughts?

inland totem
#

this is so math

inland totem
zinc ridge
#

who really thought, my brain or myself?

fringe prism
#

rip

thorny tusk
#

both

swift imp
zinc ridge
#

i ve eveebrr seen

zinc ridge
#

btw f+v=e+2

inland totem
#

ooh euler theorem or sum

#

i forgot

soft vigil
swift imp
inland totem
#

oh euler theorem

#

hmmm

zinc ridge
soft vigil
soft vigil
swift imp
#

I never made usamo should I continue learning comp math cha

zinc ridge
#

where s is the semi perimeter

soft vigil
#

bro is debating himself

inland totem
#

why am i getting deja vu

zinc ridge
#

and a, b, and c are the three sides

inland totem
#

if a triangle has 3 sides, is it a quadrilateral

soft vigil
#

i mean

soft vigil
#

U can use jt as a quadrilateral

#

just like how u can use pascals theorem on a pentagon

inland totem
swift imp
#

Mrrrp

#

I should cosplay catgirl to distract competitors

soft vigil
#

this would do numbers now with sites

inland totem
swift imp
swift imp
#

U have time

fringe prism
#

13 is hella unc

inland totem
#

zelix stop being humble

fringe prism
soft vigil
#

for oly

fringe prism
#

first do well on amc 10

#

then worry abt aime later

thorny tusk
#

first get into usajmo

fringe prism
thorny tusk
#

first get imo perf

soft vigil
#

no guarantees

#

Esp if ur finishing alg 1

thorny tusk
#

just lock in

#

read EGMO

#

finish alg 1

#

then alg 2, 3, 4, 5,

soft vigil
thorny tusk
#

is it

#

theres complex

#

and computational

#

and barycentric

#

and complex

viral sierra
thorny tusk
#

and all sorts of geo bash

keen lake
#

bash is bad

inland totem
keen lake
#

do not bash

thorny tusk
#

its aime

#

you have to bash

inland totem
thorny tusk
#

like when theres lots of cevians?

inland totem
#

once

thorny tusk
#

idk

inland totem
#

but ask a usajmo qual

#

like zelix

keen lake
thorny tusk
#

*jmo

keen lake
#

or the bashing is minimal

thorny tusk
#

nop

#

its aime

#

bash bash bash

keen lake
#

bash bad

#

give one example of bash being good

inland totem
#

aime i 2026 p12

#

it's linear alg bash

thorny tusk
#

i just said bash

keen lake
#

3D geo is not real geo

inland totem
thorny tusk
#

:||||

keen lake
#

when was the last time 3D geo appeared in a big contest

#

oh wait

#

usatstst 2025

#

erm i guess it's not that 3D

soft vigil
soft vigil
keen lake
soft vigil
#

i guess bro

#

Its bigger than a lot of national mos

keen lake
#

not any of that answer only stuff

daring sparrow
keen lake
sage path
#

alright thanks guys!!

daring sparrow
#

what

daring sparrow
#

(acronym for orz unc)

fringe prism
#

i am NOT unc

daring sparrow
#

unc

fringe prism
daring sparrow
#

graphe theorym

fringe prism
daring sparrow
fringe prism
daring sparrow
#

can someone explain oly geo to me ๐Ÿ’”

fringe prism
#

ask evan chen

daring sparrow
#

lowkey the best i can do is rederive complex geo

#

and bash ๐Ÿคค

fringe prism
#

LOL

inland totem
#

ooh

soft vigil
#

Pop

daring sparrow
daring sparrow
#

when the problem requires an invariant so you lowkey give up

daring sparrow
soft vigil
#

What

daring sparrow
soft vigil
#

jmo?

daring sparrow
#

sure

soft vigil
#

Ye

daring sparrow
#

orz

#

i didnt even qual either

#

aime qual = n orz;

inland totem
#

hmm

soft vigil
fringe prism
#

aime HELLA hard to qual

daring sparrow
daring sparrow
soft vigil
fringe prism
daring sparrow
fringe prism
#

aime is like 15 correct i think

#

wait nvm, 25

soft vigil
#

Huh

fringe prism
#

pov: alex tsaagan

soft vigil
fringe prism
#

what

soft vigil
#

Isnt that his aops

fringe prism
#

idrk

daring sparrow
fringe prism
#

LOL

daring sparrow
#

what you aops handel

#

please 67bluds i need this

#

my aops is kinda momless

inland totem
#

hmmm

inland totem
#

make friends

fringe prism
daring sparrow
inland totem
#

wait i can access aops thru my school computer

daring sparrow
radiant shoal
fringe prism
#

fr

frank hornet
radiant shoal
#

would be pretty fucking dumb to block aops

severe eagle
frank hornet
severe eagle
#

i feel like i wasted my time doing the usamo p3

#

so lets look at day 2 problems

radiant shoal
#

itd be wrong for schools to block it tho

fringe prism
#

real lol

frank hornet
#

yeah that'd be super unfair

fringe prism
daring sparrow
severe eagle
#

supposedly 45M mohs

#

aka hard imo p3

#

im gonna do p5

daring sparrow
severe eagle
daring sparrow
#

mfs after complex bashing anything

#

bro wtf is this problem ๐Ÿ’€

severe eagle
#

lmao

#

first line of long synth sol btw

daring sparrow
severe eagle
#

dw i also forgot my anti steiner points

daring sparrow
#

bro i dont even know what that is ๐Ÿ˜ญ๐Ÿ™๐Ÿ˜ญ๐Ÿ™๐Ÿ˜ญ๐Ÿ™๐Ÿ˜ญ๐Ÿ™๐Ÿ˜ญ๐Ÿ™๐Ÿ˜ญ๐Ÿ™๐Ÿ˜ญ๐Ÿ™๐Ÿ˜ญ๐Ÿ™

soft vigil
severe eagle
#

๐Ÿ’€

severe eagle
soft vigil
#

ano p5

severe eagle
#

ah

soft vigil
#

jmo p5 wqs easy nt

severe eagle
#

Fah

#

oh yeah its complex bashable

#

Thanks for the idea sir

daring sparrow
#

bro who tf said "what if you dont know complex incenter"

severe eagle
daring sparrow
#

js rederive it

severe eagle
soft vigil
#

Oh and j4 u will find trivial

#

Its angle chase

severe eagle
#

phew

daring sparrow
severe eagle
#

i go and see

daring sparrow
#

might be a good blog idea actually

#

does it follow trivially from half-angle formulas?

daring sparrow
#

i'm trying to reinvent the wheel hold on

fringe prism
daring sparrow
#

\textbf{Claim:} Let $\ell_a$ and $\ell_b$ be lines of slope $a$ and $b$, respectively. Then their angle bisectors have slope [\frac{\pm\sqrt{(a^2+1)(b^2+1)}+ab-1}{a+b}.]

gilded haloBOT
#

literally anything

daring sparrow
swift imp
#

ell

#

Carbonate how is Singapore tst

daring sparrow
# gilded halo **literally anything**

\textit{Outline of Proof:} Draw a triangle with side $|b-a|$ and points $A$, $B$, $C$ and let its height $CH$ be $1$. Use the Angle Bisector Theorem to find the signed length of $HD$, where $D$ is the intersection of the angle bisector of $\angle ACB$ with $AB$, and conclude the slope from there.

gilded haloBOT
#

literally anything

daring sparrow
gilded haloBOT
#

literally anything

daring sparrow
severe eagle
severe eagle
#

bro complex incenter formula

#

not coordinate incenter formula

daring sparrow
severe eagle
#

Ok then

#

Good luck

#

Incenters in complex plane are only nice on unit circle

#

otherwise its cooked already

daring sparrow
#

actualy i';m realizng how tstupid ts is

#

im so xooked ๐ŸซฉโœŒ๏ธ

severe eagle
#

fr

#

linpop is related to bary

daring sparrow
#

i'll just use evan's derivation atp ๐Ÿ™

severe eagle
#

bary usamo p5

daring sparrow
#

linear power of a point?

#

circle inversion?

severe eagle
severe eagle
daring sparrow
severe eagle
#

yes but theres no incenter of a general triangle

#

๐Ÿฅ€

#

only the unit circle which is obvious

daring sparrow
#

i love beng a dumbass

#

i still dont know bary ๐ŸฅนโœŒ๏ธ

severe eagle
#

i also dont

#

its uncivilised

daring sparrow
#

actually bary is lowk easy ngl

#

why didnt i do this earlier

#

it follows from affine geo

severe eagle
daring sparrow
severe eagle
#

i cannot find the formula for incenter of a general triangle anywhere online

#

fyi

daring sparrow
#

WHAT.

severe eagle
#

so if you want to do it

#

i will be impressed

severe eagle
fringe fjord
#

Ia quadratic equations as a chapter hard

severe eagle
#

if you need help with problems

#

!help

scarlet rootBOT
#

To ask for mathematics help on this server, please open your own help channel or help thread. See #โ“how-to-get-help for instructions.

fringe prism
severe eagle
fringe fjord
#

And should I do basic maths like inequality aand modulus equations before doing sets @severe eagle

daring sparrow
# severe eagle you can try

\textbf{Theorem:} Let $A$, $B$, $C$ be points in $\mathbb R^2$, and let $a$, $b$, $c$ be the corresponding side lengths. Then the incenter $I$ is the weighted average of the points, with respect to their corresponding side lengths.

fringe fjord
gilded haloBOT
#

literally anything

severe eagle
#

but sure

#

sets is more abstract

daring sparrow
fringe fjord
#

I mean they use signs like belongs to and U

severe eagle
#

?? what

fringe fjord
#

In inequality wcm method

daring sparrow
#

where do they use that in quadratics

severe eagle
#

in sets lah

daring sparrow
#

that sounds like set theory bro

fringe fjord
#

Can't you read bro

severe eagle
severe eagle
ashen hatch
fringe fjord