What is the standard code for solving any cubic equation

I have been asked to submit the standard code for solving any cubic equation but I do not know?need help ASAP .

[Roger Stafford]

See this article:

http://en.wikipedia.org/wiki/Cubic_function

Answer 1

[Matt J]

See the ROOTS command.

Answer 2

[Anas]

% Simple Cubic Equation Solver
clc;
clear;

% Input coefficients for the cubic equation ax^3 + bx^2 + cx + d = 0
a = input('Enter coefficient a (for x^3): ');
b = input('Enter coefficient b (for x^2): ');
c = input('Enter coefficient c (for x): ');
d = input('Enter constant d: ');

% Check if it's a valid cubic equation
if a == 0
    disp('This is not a cubic equation.');
else
    % Define polynomial coefficients and solve
    coefficients = [a b c d];
    roots_cubic = roots(coefficients);
    
    % Display the roots
    disp('The roots of the cubic equation are:');
    disp(roots_cubic);
end

Answer 3

[Walter Roberson]

syms a b c d x
R = solve(a*x^3 + b*x^2 + c*x + d == 0, x, 'maxdegree', 3);
matlabFunction(R, 'file', 'CubicSolver.m', 'vars', {a b c d} )

ans = function_handle with value:
    @CubicSolver

dbtype CubicSolver.m

1     function R = CubicSolver(a,b,c,d)
2     %CubicSolver
3     %    R = CubicSolver(A,B,C,D)
4     
5     %    This function was generated by the Symbolic Math Toolbox version 24.2.
6     %    28-Jan-2025 17:53:38
7     
8     t2 = b.^2;
9     t3 = b.^3;
10    t4 = 1.0./a;
11    t7 = sqrt(3.0);
12    t5 = t4.^2;
13    t6 = t4.^3;
14    t8 = (b.*t4)./3.0;
15    t9 = (c.*t4)./3.0;
16    t10 = (d.*t4)./2.0;
17    t11 = -t8;
18    t12 = -t10;
19    t13 = (b.*c.*t5)./6.0;
20    t15 = (t2.*t5)./9.0;
21    t16 = (t3.*t6)./2.7e+1;
22    t14 = -t13;
23    t17 = -t15;
24    t18 = -t16;
25    t19 = t9+t17;
26    t21 = t10+t14+t16;
27    t20 = t19.^3;
28    t22 = t21.^2;
29    t23 = t20+t22;
30    t24 = sqrt(t23);
31    t25 = t12+t13+t18+t24;
32    t26 = t25.^(1.0./3.0);
33    t27 = 1.0./t26;
34    t28 = t26./2.0;
35    t29 = -t28;
36    t30 = t19.*t27;
37    t31 = t30./2.0;
38    t32 = t26+t30;
39    t33 = t7.*t32.*5.0e-1i;
40    R = [t11+t26-t30;t11+t29+t31-t33;t11+t29+t31+t33];
41    end

Now CubicSolver.m exists in your current directory, and can be called with four parameters that are compatible in size (but best if they are scalars or row vectors.)