Mark Nazzal Posted February 21, 2004 Share Posted February 21, 2004 Ok, this is waaaay off topic, but guess that's what these forums are for +_+ A kiss and a candy for anyone who can solve this equation (giving full detail on how he did that): -4x^3+3x-1/2=0 Link to comment Share on other sites More sharing options...

Atreides Posted February 21, 2004 Share Posted February 21, 2004 Use Newton's method (calculus) Basically get an estimate/guess of X (say .2), then keep doing the iteration below (computer recommended for sanity). Xn+1 = Xn- f(Xn)/f'(Xn) f(x) = -4x^3+3x-1/2 f'(x) is the derivative of f(x) Successive X's will be converge to the "real" root (they get more accurate each time), so keep doing it until it's accurate enough for you. Here's a short cut: http://www.math.sc.edu/cgi-bin/sumcgi/Newton.pl Answer: x=0.17364817766693 Edit: Here's an explanation (semi-proof) why Newton's method works. Stop reading just after equation (5), we're not really interested in the rest (and it gets ugly too). Spreading beauty with my katana. Link to comment Share on other sites More sharing options...

Vladek Posted February 24, 2004 Share Posted February 24, 2004 If i posted some of my uni work could you write some technical reports for me please :D Link to comment Share on other sites More sharing options...

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