So, I don't know if it's normal but this quartic seems long to solve...

When I use the ferrari method, I get the following reduced quartic :

$y^4 - {2883\over 128}y^2-{27103\over 512}y-{1809027\over 65536}=0$

Now, on paper, I did reduce the reduced quartic to a cubic form... But the numbers keep getting worser. Is it normal ? I don't have the courage to calculate all of this, if it correct :(

Thank yoU!

  • 1
    $\begingroup$ We invented computers to stop this insanity! But if you insist, keep going for another 1/2 hour then compare to the computers answer (which it'll generate in less than 30 seconds) $\endgroup$ – Zach466920 Apr 23 '15 at 22:47
  • $\begingroup$ Yes, I know about Wolfram Alpha ! It was killing me, so I just stopped ! $\endgroup$ – user108343 Apr 23 '15 at 22:51
  • $\begingroup$ Wolfram or the by hand method? If you insist on doing it by hand, just use newton's method (best of both worlds) $\endgroup$ – Zach466920 Apr 23 '15 at 22:54
  • $\begingroup$ Well, I began by hand and stopped after it was getting too long. I don't know Newton's method. $\endgroup$ – user108343 Apr 23 '15 at 23:02
  • $\begingroup$ Then go learn about it. It can approximate solutions to any polynomial equation, and more. $\endgroup$ – Zach466920 Apr 23 '15 at 23:05

You can find:





And the answer is very difficult/hard to find!


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