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August 30th, 2017, 04:48 AM   #11
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Math Focus: Algebraic Number Theory, Arithmetic Geometry
Quote:
 Originally Posted by Denis Btw, should be (x - 1)(x - 2)(x - 3)(x - 4)
Why should it be that rather than (x - 4)(x - 3)(x - 2)(x - 1)? The two expressions are equal.

 August 30th, 2017, 05:03 AM #12 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 12,603 Thanks: 844 Easier to "look at"!
August 30th, 2017, 06:44 AM   #13
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Math Focus: Algebraic Number Theory, Arithmetic Geometry
Quote:
 Originally Posted by Denis Easier to "look at"!
That's completely subjective. You might prefer it written like that, but that doesn't mean it's how it "should" be done.

 August 30th, 2017, 07:26 AM #14 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 12,603 Thanks: 844 Relax Sir Jem: I'm joking!
August 30th, 2017, 08:55 AM   #15
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Math Focus: Physics, mathematical modelling, numerical and computational solutions
Quote:
 Originally Posted by cjem Why should it be that rather than (x - 4)(x - 3)(x - 2)(x - 1)? The two expressions are equal.
(x-4)(x-3)(x-2)(x-1) is the 'glass half-empty' version.

(x-1)(x-2)(x-3)(x-4) is the 'glass half-full' version!

 August 30th, 2017, 09:14 AM #16 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 12,603 Thanks: 844 Reminds me of: an alcoholic somehow pleases a genie who says: "you get 2 wishes; what's your 1st one?". "I'll take a bottle of tequila that fills up automatically after I drink from it". Genie: " POUFF! here you go..." The alcoholic takes a drink...bottle fills up after... Genie: "and you 2nd wish?" "I'll have another one of those bottles"!!
 August 30th, 2017, 12:04 PM #17 Senior Member   Joined: Aug 2012 Posts: 1,919 Thanks: 533
 September 3rd, 2017, 06:37 AM #18 Newbie   Joined: Aug 2017 From: America Posts: 5 Thanks: 0 thanks to all of you for your efforts, the source of this equation can be solved in a different way, so there's no further need. Anyway, thanks

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