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Quintic

  • To: mathgroup at smc.vnet.net
  • Subject: [mg38505] Quintic
  • From: "PSi" <psinome at tee.gr>
  • Date: Fri, 20 Dec 2002 04:27:40 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

According to
http://library.wolfram.com/examples/quintic/main.html
one of the roots of x^5+20x+32=0 is
a = (1/5)(-(2500 5^(1/2) + 250(50 - 10 5^(1/2))^(1/2) -
                750(50 + 10 5^(1/2))^(1/2))^(1/5)
        - (-2500 5^(1/2) + 750(50 - 10 5^(1/2))^(1/2) +
              250(50 + 10 5^(1/2))^(1/2))^(1/5)
        - (2500 5^(1/2) + 750(50 - 10 5^(1/2))^(1/2) +
              250(50 + 10 5^(1/2))^(1/2))^(1/5)
        - (2500 5^(1/2) - 250(50 - 10 5^(1/2))^(1/2) +
              750(50 + 10 5^(1/2))^(1/2))^(1/5))
According to Mathematica 4.1 this is not a root of the above equation.
Is there somewhere a typo?
Thanks, PSi





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