Hi Everyone,

I am sorry, but I can't think of a good descriptive title.

I am writing here hoping that I can obtain some advice from the mathematicians. I work in analytical chemistry, and my math knowledge is very dusty, to say the least.

Here are two equations:

T-F = G*K*F / (1+K*F+H*E)

U-E = G*H*E / (1+H*E+K*F)

I would like to find a solution for F as a function of all the above parameters, except for E. I tryied to rearrange, but I got totally lost at this stage:

K*F^2+{G*K-K*T-0.5(G*H-H*U+K*F+1)+0.5*sqrt[(G*H-H*U+K*F+1)^2+4*H(U+U*K*F)]+1}*F-T+0.5*T*(G*H-H*U+K*F+1)-0.5*T* sqrt[(G*H-H*U+K*F+1)^2+4*H(U+U*K*F)]=0

I know the interval of the parameters, it that would help with some simplifications.

K ~25

H ~ 50

G ~ 0.4

U = [0.003 - 0.5]

T = [0.0043 - 0.77]

I don't even know what to read, to get an idea how to approach this problem. Unfortunatelly I don't have any friends who are good in math, and the couple "shots in the dark" sent to a couple of people had no result. Hopefully, a good Samaritan can help me on this forum. Thanks so much!