Solving a mathematical equation

Hello

I have ojne equation I want to learn how can I solve this equation in Matlab? my equation is : and I want to solve with respect to P

[Mohammed Hamaidi]

Hi

The other paramaters are known?

beta, K, P0..... and q?

[Pooya Jahedi]

yes

[David Hill]

There is no explicit solution. You could get a numerical solution if you know the other variables.

[Pooya Jahedi]

the other variables have their own equations

[Davide Masiello]

"the other variables have their own equations"

Do they depend on P?

[Pooya Jahedi]

No

[Davide Masiello]

Then look at my answer below, it should provide you with a suitable solution.

Answer 1

[Davide Masiello]

Example

clear,clc

beta = 0.5;
kH   = 1;
P0   = 1;
qm   = 2;
kS   = 0.01;
n    = 2;

qx   = 1;

func = @(P) qx-(beta*kH*(P/P0)+(1-beta)*qm*(kS*P/P0)^(1/n)/(1+(kS*P/P0)^(1/n)));

result = fzero(func,1)

result = 1.7654

Just replace the actual values of all the constants and you're good to go.