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Algebra Problem

fcukme · 2006-05-02 10:56:26

hey guys, wondering if you can help me with a problem. If I have two quadratic equations where the variables are definied in each other eg y = a x^2 + b x +c and x = d y^2 + e y + f. Is there a way of finding the roots of x and y with without forming a quartic equation in either of them, as i want to present the general…

02-05-2006 10:56am

#1

fcukme

Closed Accounts Posts: 63 ✭✭

Join Date: November 2003

Posts: 48

hey guys, wondering if you can help me with a problem.

If I have two quadratic equations where the variables are definied in each other
eg y = a x^2 + b x +c and x = d y^2 + e y + f.

Is there a way of finding the roots of x and y with without forming a quartic equation in either of them, as i want to present the general case and quartic produce very long roots.

It seems like there should be some sort of special case here but I just can't find it.

Thanks in advance.

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Comments

#2 07-05-2006 10:18pm

Son Goku

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Some the special cases of that are hyperbolic, so there isn't roots within the reals in a lot of cases.

Most of these implicit definition equations don't have general methods.

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