how can i calculate this equation using matlab

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

Answer 1

[Kautuk Raj]

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.

I hope this answer helps you with your problem.