< Earlier Kibitzing · PAGE 8533 OF 8533 ·
|Dec-15-17|| ||zanzibar: Quadratic it is, with a cute usage of the two solutions.|
|Dec-15-17|| ||Domdaniel: <zanzi> I think you were right. I assumed it was a cubic without an x^2 term, but I was wrong.|
|Dec-15-17|| ||Domdaniel: <OBIT> Yes, moving the x above the line makes a huge difference...|
|Dec-15-17|| ||MostlyAverageJoe: <OBIT: OK, this is the first significant mistake in this year's Present Hunt. The equation should have been written:
x^2 + 811x/25 - 2092 = 0>
Not really; the division happens first, and multiplication second.
Wolframalpha agrees: http://www.wolframalpha.com/input/?...
|Dec-15-17|| ||Domdaniel: The quadratic is also much easier to solve. I know how to solve cubics by hand - as Tartaglia and Cardano worked out centuries back - but it takes time. Easier to use an equation-solving website, though it means the solution comes out of a black box.|
|Dec-15-17|| ||zanzibar: When in doubt use parens (or a in the modern era)|
|Dec-15-17|| ||saffuna: There are some really bad writers, I mean in terms of writing style, that I still can't put down. I could never get through two chapters of a Clancy book, but I race my way through any Grisham I find.|
|Dec-15-17|| ||MostlyAverageJoe: OTOH, keeping x in the denominator would produce this:|
|Dec-15-17|| ||Domdaniel: Anyway, congrats to <7krzem7> for thinking of translating the result into geographical terms.|
|Dec-15-17|| ||zanzibar: Aside -
<Tartaglia and Cardano>, apparently <Dom> knows his math history.
The solutions to some cubics (~1545), with both real coefficients and know real solutions, presaged the invention of "imaginary" numbers (not widely adopted before the time of Euler and Gauss):
|Dec-15-17|| ||Count Wedgemore: <OBIT> I disagree. The equation is correctly written. You start by simplifying doing 811:25, right? You multiply afterwards, not before.|
I think the clue was completely fine.
|Dec-15-17|| ||OBIT: <MAJ> <Count Wedgmore>: Curiously, if you give the Wolfram site the equation:|
1 / xy = 1
Wolfram interprets this equation as the hyperbola xy = 1, not the line y/x = 1. So even WolframAlpha is unclear on this issue. Regardless, good mathematics avoids the confusion by writing, for example, 3x/2 instead of 3/2x. And, of course, the strategic use of parentheses is the best way to remove any ambiguity.
|Dec-15-17|| ||Travis Bickle: Here's 2 from The Man in Black..
Daddy Sang Bass
I Saw the Light
|Dec-15-17|| ||Chess Is More: <Travis Bickle: Here's 2 from The Man in Black>|
His name is Johnny Cash. My father adored him. This is old news.
If you insist on posting these endless irrelevant music links you should at least name the artist properly.
|Dec-15-17|| ||Chess Is More: Dan Fogelberg - Heart Hotels
|Dec-15-17|| ||saffuna: I thought his name was Sue.|
|Dec-15-17|| ||Chess Is More: 'Til Tuesday - Coming Up Close
|Dec-15-17|| ||Travis Bickle: <Chess Is More> You sir are a Screwhead & a Jack Ass.. |
P.S. Hey big pawn did they finally let you out of the nuthouse? LOL!
|Dec-15-17|| ||cormier: nite nite guys ... ths G|
|Dec-16-17|| ||OBIT: JamesBJames solved the last puzzle! I thought he was dead!|
|Dec-16-17|| ||PhilFeeley: <Real leftwing thought:
Seems pretty sound to me.>
Don't forget www.DemocracyNow.org !
|Dec-16-17|| ||PhilFeeley: Seems like a lot of these are race clues. I haven't even seen it yet and it gets solved.|
|Dec-16-17|| ||tpstar: Here's a cute puzzle:
click for larger view
White to Play and Win
|Dec-16-17|| ||PhilFeeley: From an excellent article about Theolonuis Monk on counterpunch.org:|
<Monk took long walks in the night ... composing new songs in his head, re-structuring old standards into startling new forms, listening to the jazz and blues pouring out of the Harlem clubs. Sometimes he would go over to Brooklyn and play in black-owned bars, places that openly defied the New York Liquor Authority’s ban on cardless musicians, places that never saw the likes of Leonard Feather. Other evenings he walked to Art Blakey’s house, where the two jazz titans played chess into the wee hours.>
Everything relates to chess!
|Dec-16-17|| ||OhioChessFan: Nice endgame puzzle <tps>. The cramped position of the Black King is the source of his demise.|
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