Math Is Fun Forum

Turbo

Novice

Registered: 2024-08-22

Posts: 4

Maths puzzles

Bob

Administrator

Registered: 2010-06-20

Posts: 10,544

Re: Maths puzzles

hi Turbo

Welcome to the forum and thanks for the puzzles.

Two things I need to check:

y/y isn't that just 1 ?

You've copied these from somewhere.  Is there a copyright issue?

Bob

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

Turbo

Novice

Registered: 2024-08-22

Posts: 4

Re: Maths puzzles

No, there are no copyright issues because these problems are shared in a Discord server. If you're a Discord user, I can share the link with you if you'd like.
idk is y/y = 1? y isn't 0 tho
seems to be 1

Turbo

Novice

Registered: 2024-08-22

Posts: 4

Re: Maths puzzles

I mean,i wanted to be intentionally annoying with it, I am very interested in how you all will solve problem 3 and 4

Turbo

Novice

Registered: 2024-08-22

Posts: 4

Re: Maths puzzles

Hints since everyone is Not trying:
p0 substitute x(y) = ay^2 + by + c, multiply everything out, group
p1 what point inside the triangle is hardest to reach? it should be a point especially far from all sides
p2 find how many ways there are for small n
p3 inductively construct these polynomials by adding lagrange polynomials. a closed form for f(n) is unnecessary.
p4 number the road types 1,2,3,0 respectively. then a triangle is banned iff it has bitwise xor 0.