R help - Oct 2005 - question about ways to solve nonlinear system

Dear R users


I am trying to write an R function to solve for a,b,c in the following
system of equations, given any value of x1, x2 and x3:
b^2 + 6*b*a + 2*c^2 + 15*a^2 = x1
2*c*(b^2 + 24*b*a + 105*a^2 + 2) = x2
24*(b*a + c^2*(1 + b^2 + 28*b*a) + a*(12 + 48 *b*a + 141*c^2 + 225*a^2))
=x3

Could you give me suggestions about which R function(s) I can use to
solve this problem and how I should use these functions? 
Thank you very much for your assistance,

Walter Leite

Leite,Walter wrote:
> Dear R users
> 
> 
> I am trying to write an R function to solve for a,b,c in the following
> system of equations, given any value of x1, x2 and x3:
> b^2 + 6*b*a + 2*c^2 + 15*a^2 = x1
> 2*c*(b^2 + 24*b*a + 105*a^2 + 2) = x2
> 24*(b*a + c^2*(1 + b^2 + 28*b*a) + a*(12 + 48 *b*a + 141*c^2 + 225*a^2))
> =x3
> 
> Could you give me suggestions about which R function(s) I can use to
> solve this problem and how I should use these functions? 
> Thank you very much for your assistance,
> 
> Walter Leite
> 
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R itself cannot calculate symbolically (which is what you want to do it 
in this case, I guess), "just" numerically.

Uwe Ligges