(2x) / (1+x^2)^2 = 2/5

I completely forgot how to solve equations with x^4

can someone tell me how to do this?

I take the denominator to the other side and factored it and got an equation with x to the 4th degree.

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- September 22nd 2007, 08:49 PMxfyzHigher degree equations
(2x) / (1+x^2)^2 = 2/5

I completely forgot how to solve equations with x^4

can someone tell me how to do this?

I take the denominator to the other side and factored it and got an equation with x to the 4th degree. - September 22nd 2007, 08:52 PMJhevon
what was the equation you got? show us and we'll take it from there, there is no one way to attack a quartic, we must do it by case

EDIT: ok, this is not a "nice" quadratic, it does not have integer roots. so if you have to solve this by hand i see no other way to do it at the moment other than to use the quartic formula. which is a mess. you can use Cardano's or Galois' method (your professor is cruel) - September 22nd 2007, 09:47 PMxfyz
- September 22nd 2007, 09:49 PMJhevon
- September 23rd 2007, 08:13 AMThePerfectHacker
- September 23rd 2007, 08:21 AMtopsquark
- September 23rd 2007, 08:22 AMtopsquark
- September 23rd 2007, 08:46 AMThePerfectHacker
And it is not called the Galois method. That links derived the method for 4th degree equations using Galois Theory.

- September 23rd 2007, 09:24 AMJhevon
i was speaking loosely after all. i wasn't sure what the method's were called. i just named them by the name i saw on the webpage