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Only approximate solution (was: Re: please...)

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  • Sergei Markelov
    Hello Eky! Unfortunely, you problem require solving the equation arccos(1/(1+t)) - sqrt(t^2+2*t)/(t+1)^2 = Pi/4 where t is the required x/y. This equation has
    Message 1 of 3 , Nov 1, 2002
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      Hello Eky!

      Unfortunely, you problem require solving the equation

      arccos(1/(1+t)) - sqrt(t^2+2*t)/(t+1)^2 = Pi/4

      where t is the required x/y.

      This equation has one positive solution, it is about 1.475414472
      My guess is that this equation's root cannot be expressed using
      radicals or other standard functions.

      Sergei Markelov


      --- In Hyacinthos@y..., "eky" <eyupkamilyesilyurt@h...> wrote:
      > Please, have a look at the gestion on the following link.
      >
      > http://groups.yahoo.com/group/Hyacinthos/files/hesap.gif
    • fredlangch
      Hello Segueï, Mathematica is unable to solve this equation with radicals. If you put t = -1 + 1/Cos(x/2), you get sin(x) = x - pi/4, which is obviously
      Message 2 of 3 , Nov 1, 2002
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        Hello Segueï,
        Mathematica is unable to solve this equation with radicals.
        If you put t = -1 + 1/Cos(x/2), you get sin(x) = x - pi/4,
        which is obviously transcendent.
        Bye.
        Fred Lang
        --- In Hyacinthos@y..., "Sergei Markelov" <sergeimarkelov@y...> wrote:
        > Hello Eky!
        >
        > Unfortunely, you problem require solving the equation
        >
        > arccos(1/(1+t)) - sqrt(t^2+2*t)/(t+1)^2 = Pi/4
        >
        > where t is the required x/y.
        >
        > This equation has one positive solution, it is about 1.475414472
        > My guess is that this equation's root cannot be expressed using
        > radicals or other standard functions.
        >
        > Sergei Markelov
        >
        >
        > --- In Hyacinthos@y..., "eky" <eyupkamilyesilyurt@h...> wrote:
        > > Please, have a look at the gestion on the following link.
        > >
        > > http://groups.yahoo.com/group/Hyacinthos/files/hesap.gif
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