how can i calculate this equation using matlab
3 views (last 30 days)
Show older comments
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
0 Comments
Answers (1)
Kautuk Raj
on 26 Mar 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.
I hope this answer helps you with your problem.
0 Comments
See Also
Categories
Find more on Symbolic Math Toolbox in Help Center and File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!