Solving a system of complex non-linear equations - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-26T09:37:11Z http://mathoverflow.net/feeds/question/91097 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/91097/solving-a-system-of-complex-non-linear-equations Solving a system of complex non-linear equations Prasenjit 2012-03-13T17:22:06Z 2012-03-13T17:22:06Z <p>I have a set of five equations which can be described as follows:</p> <p>$m_{i}=\frac{k_{1}}{(x+a)^{i}} + \frac{k_{2}}{(b+d)^{i}}+ \frac{k_{3}}{c^{i}}$</p> <p>for i=1 to 5 where \eqalign{ k_{1}&amp;=\frac{a(x+a-b-c-d)+c(b+d)-xd}{(x+a-b-d)(x+a-c)} \ } \eqalign{ k_{2}&amp;=\frac{x(d-c)}{(x+a-b-d)(b+d-c)} \ } \eqalign{ k_{3}&amp;=\frac{xb}{(b+d-c)(x+a-c)} }</p> <p>$m_{i}$, $i$=1 to 5 are constants and $x,a,b,c,d$ are variables.</p> <p>I want to find $x,a,b,c,d$ satisfying these equations.</p>