Is it possible to calculate x,y,z in ROOT?

Dear Root expert:

In ROOT, is it possible to calcuate x,y,z with the following equation? (m1,m2,m3,n1,n2,n3,L1,L2,L3 are all known numbers.)

(m1 * x + z )**2 + (n1y)**2 = L1
(m2 * x + z )**2 + (n2
y)**2 = L2
(m3 * x + z )**2 + (n3*y)**2 = L3



we are planning to add algorithms to solve non-linear system of equations like yours based on GSL, see … nding.html

Currently you could try in ROOT to use a minimization algorithm and minimize for example the sum of the square of the functions.

Best Regards