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50 sats \ 0 replies \ @noknees 10 Nov \ on: SN release: new micropayment engine meta
yeeeee! that's a feature I have been hoping for since I joined SN.
Also, I think this issue can be closed now?
you still can, and I'll still give sats if you do it other than the 3 ways already done :)
and this is not the last one, I'll be posting plenty....
I am designating @Scroogey as the winner for this bounty with a -200 sats (for admitting to use a solver lol, although that does not give away the answer).
He showed the right steps and right equations (check second pinned comment)!
Here is another simpler walkthrough by me though (simple factorization)
or using Ferrari's method for quartic polynomials:
that's okay, but the rational root test link shows you solved the equation using a solver which is not okay, had you not posted the link and only written "rational root test", I might not have figured it out, but since you did, it puts a wrong impression
it's okay to use a solver once you understand the method, but citing is not always necessary! (another lesson I learnt the hard way)
but another 200 sats for being honest and using formulas the correct way!
How did you determine the coefficients so arbitrarily? The answer is correct though but I think that's cheating.
Using factor theorem is a very bad way to solve this kind of equation.
Anyways 200 sats for the good effort and somehow getting the correct answer :)
well that formula they showed is actually derived from the original quartic formula after depressing it and going case wise depending on the monic polynomial which is not the case for this one, this one is a quasi-symmetric variant, so it's not likely to give the answer :)
Good try tho! Most people won't reach till here...
formula like the ol' quadratic formula
by "like" I mean "having a similar name to" not just the same
assuming the point between A and C to be say: P, we get a
\DeltaPCD and a quad ABDPso, as per problem,
AB + BD + DP + DA = CD + PD + CP + 12
\implies 10 + 10 + DP + (10-CP) = 10 + PD + CP + 12
\implies 30 + PD - CP = 22 + PD + CP
\implies 8 = 2 * CP
\implies CP = 4thus
\DeltaPCD = 0.5 * CP * CD = 0.5 * 4 * 10 = 20 cmĀ²pretty simple :)
@south_korea_ln looks like he solved one of the millennium prize problems.
I'm sure he will solve all 6 of the unsolved ones pretty soon...
so eerily true...
i wonder why didn't i come up with them
It IS related to geometric algebra cuz you use Lie algebra for describing smooth movements and rotationsālike spinning a ball (āinfinitesimalā steps or actions that build complex movements), and then you expand it to form patterns and symmetries commutatively. It's a great tool for quantum mechanics :)
Truly pointed out - The mathematical uniqueness of the Moyal bracket (as the only one-parameter Lie-algebraic deformation of the Poisson bracket) implies that the commutator structure of quantum mechanics is the unique way to achieve a strict lower bound on entropy.
0 sats \ 0 replies \ @noknees OP 2 Nov \ parent \ on: Simulating Time with Square-Root Space science
it was a tactic for luring in the ignorant ones, you ruined the plan :(