pentic root
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From: Jon on 5 Dec 2009 21:20 The root to ax^5+bx+c=0 is approximately, x = { -c/({a^2+b^2}^(1/2)) }^(1/5) Using this formula, the roots to, x^5+x-34=0 x=1.888 should be 2 32x^5+4x-3=0 x=0.623 should be 1/2 x^5+x-0.10001 x=0.5887 should be 1/10
From: KY on 5 Dec 2009 12:47 cf; http://www.wolframalpha.com/input/?i=32x%5E5%2B4x-3%3D0 etc
From: Sam Wormley on 5 Dec 2009 23:00 Jon wrote: > The root to ax^5+bx+c=0 is approximately, > > x = { -c/({a^2+b^2}^(1/2)) }^(1/5) > > Using this formula, the roots to, > > x^5+x-34=0 x=1.888 should be 2 > 32x^5+4x-3=0 x=0.623 should be 1/2 > x^5+x-0.10001 x=0.5887 should be 1/10 > > http://www.wolframalpha.com/input/?i=roots+ax%5E5%2Bbx%2Bc%3D0
From: master1729 on 6 Dec 2009 05:26 Sam Wormley wrote : > Jon wrote: > > The root to ax^5+bx+c=0 is approximately, > > > > x = { -c/({a^2+b^2}^(1/2)) }^(1/5) > > > > Using this formula, the roots to, > > > > x^5+x-34=0 x=1.888 should be 2 > > 32x^5+4x-3=0 x=0.623 should be 1/2 > > x^5+x-0.10001 x=0.5887 should be 1/10 > > > > > > > > http://www.wolframalpha.com/input/?i=roots+ax%5E5%2Bb > x%2Bc%3D0 hahaha LMFAO this is the ' result ' of wolfram alpha = the link given above : Results: x = root[#1^5a + #1 b + c&,1] and a =/= 0 x = root[#1^5a + #1 b + c&,2] and a =/= 0 x = root[#1^5a + #1 b + c&,3] and a =/= 0 x = root[#1^5a + #1 b + c&,4] and a =/= 0 x = root[#1^5a + #1 b + c&,5] and a =/= 0 a = 0 b = 0 c = 0 a = 0 x = -c/b b =/= 0 hahaha so trivial. is this the best math sci.math (posters) has to offer ? some link to some lame result ??? LMFAO wolfram alpha = " computational knowledge engine " hahahahaha no offense , but this is hilaric. tommy1729
From: hagman on 9 Dec 2009 17:53
On 6 Dez., 03:20, "Jon" <jon8...(a)peoplepc.com> wrote: > The root to ax^5+bx+c=0 is approximately, > > x = { -c/({a^2+b^2}^(1/2)) }^(1/5) > > Using this formula, the roots to, > > x^5+x-34=0 x=1.888 should be 2 > 32x^5+4x-3=0 x=0.623 should be 1/2 > x^5+x-0.10001 x=0.5887 should be 1/10 That approximation is exact if either b=0 or c=0, but as your examples show of doubtful quality in the general case |