how to solve an equation by using trial and error method?

Question

Ali Deniz 2022-5-16

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https://ww2.mathworks.cn/matlabcentral/answers/1720510-how-to-solve-an-equation-by-using-trial-and-error-method

评论： Ali Deniz 2022-5-16

采纳的回答： Sam Chak

𝑇ℎ𝑟𝑜𝑎𝑡 (𝐴∗)=647.5 𝑚𝑚2

A=1027.5 mm^2

How can I calculate 𝑀𝑥 value by using trial and error method or how can I find the value of Mx by another method. Thank you.

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Answer 1

Sam Chak 2022-5-16

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https://ww2.mathworks.cn/matlabcentral/answers/1720510-how-to-solve-an-equation-by-using-trial-and-error-method#answer_965020

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@Ali Deniz

I'm not sure what the trial-and-error method is for this, but I think that basic Algebraic methods can be used to rearrange the equation. I followed the example in fzero and make an assumption:

https://www.mathworks.com/help/matlab/ref/fzero.html

% Assume
gamma = 1.55526564459735;
% function to be solved
f = @(M) (1/M)*((2*(1 + (gamma - 1)/2*M^2))/(gamma + 1))^((gamma + 1)/(2*(gamma - 1))) - Ax/Astar;
% initial guess
M0 = 3;
% root-finding solver
Msol = fzero(f, M0)