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DRJD · Jul 29, 2009, 04:21 AM

Good Morning

I'm looking for a little help arranging the below equation to solve for $S_t$ .

$S_t=\left(\left(O_1.\frac {S_1}{S_t} + O_2.\frac {S_t - S_1} {S_t} - 1\right).P.C-\left(1 - P\right)\right).M$

Any help would be appreciated.

Thanks

galactus · Jul 29, 2009, 09:52 AM

This may prove to be some laborious algebra doing it by hand. Using the solver on my trusty Voyage 200, I get:

$S_{t}=\frac{\sqrt{M}\cdot \sqrt{4C(O_{1}-O_{2})PS_{1}+((Cp(O_{2}-1)+P-1)^{2}M}}{2}+\frac{(CP((O_{2}-1)+P-1)M}{2}$

or

$S_{t}=\frac{-\sqrt{M}\cdot \sqrt{4C(O_{1}-O_{2})PS_{1}+(CP(O_{2}-1)+P-1)^{2}M}}{2}+\frac{(CP(O_{2}-1)+P-1)M}{2}$

DRJD · Jul 30, 2009, 03:16 AM

Thank you very much for your help.