# how can i calculate this equation using matlab

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seungpyo kang el 19 de Mzo. de 2024
Respondida: Kautuk Raj el 26 de Mzo. de 2024
Here's the English translation of your request:
"When assuming to solve the equation below, how would you construct a sentence to describe solving a 4th-degree function in MATLAB? Alpha in the figure below represents a variable.
I want like below
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### Respuestas (1)

Kautuk Raj el 26 de Mzo. de 2024
Hello Seungpyo Kang,
I observe that you want to solve a fourth-degree equation (quartic equation) in a similar manner in MATLAB, so, you will utilize the Symbolic Math Toolbox just like you did for the quadratic equation. A fourth-degree equation has the general form:
Here is how you can solve it using MATLAB's symbolic capabilities:
syms a b c d e x
eqn = a*x^4 + b*x^3 + c*x^2 + d*x + e == 0;
solx = solve(eqn, x)
Since it is a fourth-degree equation, you can expect up to four solutions (including complex solutions).
To present a specific example using the equation :
syms x
eqn = 2*x^4 - 3*x^3 + x^2 - 5*x + 2 == 0;
solx = solve(eqn, x);
% Approximate solutions to 15 decimal places
solx_numeric = vpa(solx, 15);
% Display numerical solutions
disp(solx_numeric)
To get explicit numerical values of the solutions, you can use the vpa function (Variable Precision Arithmetic) to approximate the roots to a desired number (here, 15) of decimal places.
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