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

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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.

Accepted Answer

Sam Chak
Sam Chak on 16 May 2022
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:
% 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)
There should be two real roots.

More Answers (1)

Walter Roberson
Walter Roberson on 16 May 2022
Multiply both sides by Mx. Subtract the left side from the right. Expand out. You now have a polynomial of degree 2 in Mx.
Walter Roberson
Walter Roberson on 16 May 2022
Ah, I am on mobile. I had tried scrolling the image but it didn't scroll so I didn't see the power.

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