Hi,

I was wondering whether there is any simplification available to find roots for something like

where,

Thanks

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- Sep 13th 2009, 09:24 PMkrindikSimplification of root finding problem
Hi,

I was wondering whether there is any simplification available to find roots for something like

where,

Thanks - Sep 14th 2009, 01:55 PMOpalg
Almost certainly not. Equations of the form would include (as a very special case) anything of the form . So any general method for solving such equations would include a method for solving the general quartic equation. To say the least, that would make it quite an elaborate procedure.

- Sep 14th 2009, 04:43 PMkrindik
Thanks a lot.

Infact A_n(t) have the exact same form below.

The parameters p, q consists of only x, y and a_n, b_n differ for each A_n.

So isnt there any simplification i can do so that roots in terms of x and y can be found?