is it posible to solve a non-liner system...and how!!!

for example

if any one has any thoughts on how you do this please let me know

~dan

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- September 4th 2006, 07:33 PMdanhmmm... just wondering
is it posible to solve a non-liner system...and how!!!

for example

if any one has any thoughts on how you do this please let me know

~dan - September 4th 2006, 07:36 PMThePerfectHackerQuote:

Originally Posted by**dan**

Substitute,

Thus,

Cube both sides,

Expand and solve for the nasty nontic.

Note, the solutions not necessarily can be expressed in algebraic terms. - September 5th 2006, 07:34 AMdanQuote:

Originally Posted by**ThePerfectHacker**

i hate to ask...but how do you slolve for y in that equation.

it seems i'v spent hours working on probelms of that type before....

would i use the "binomal therem"?

dan - September 5th 2006, 08:17 AMCaptainBlackQuote:

Originally Posted by**ThePerfectHacker**

and substituting into

will give two octics - a much easier problem than a single nonic. :D?

RonL - September 5th 2006, 08:20 AMCaptainBlackQuote:

Originally Posted by**dan**

all or some or the roots. Otherwise numerically.

RonL - September 5th 2006, 08:24 AMCaptainBlackQuote:

Originally Posted by**dan**

These two equations represent curves in the x-y plane. Sketch them

and your first approximation to the soution/s will be the point/s of

intersection.

Then they can be refined with an appropriate numerical procedure (say

linearising about the approximate roots, or something like that).

RonL - September 5th 2006, 08:46 AMThePerfectHackerQuote:

Originally Posted by**dan**

Yes, you do expand with binomial theorem then work with polynomial equation.

(Do you not just love it when mathematicians say "I cannot solve the problem but I can show it cannot be solved!") - September 5th 2006, 10:05 AMdanQuote:

Originally Posted by**ThePerfectHacker**

- September 5th 2006, 10:12 AMdan
so if i had a polynomal. could i solve with newton??

i dont so how you get a nontic though just because 3*3 is nine???

some how i got from

to

is that right???

dan - September 5th 2006, 10:15 AMdanQuote:

Originally Posted by**CaptainBlack**

mabye i'll try that - September 5th 2006, 10:37 AMThePerfectHackerQuote:

Originally Posted by**dan**

Thus,

- September 5th 2006, 10:48 AMdanQuote:

Originally Posted by**ThePerfectHacker**

- September 5th 2006, 10:58 AMdan
so if

then

so could i use newton for here to approximate [tex] y [tex] - September 5th 2006, 11:03 AMdan
by my calc

look right?? - September 5th 2006, 02:28 PMCaptainBlackQuote:

Originally Posted by**dan**

Is there a x which with this as a value of y solves the equations?

RonL

(when I do this I get no consistent solution for x, but I could be doing the

arithmetic wrongly :( )