In this paper code to find real roots of cubic equation with brief of explanation about it and snapshot of program

1. Analytical Solution Of Cubic Equation
In this paper will illustrated how to find roots of cubic equation with formula as
following:-
Note:-
If your equation as following just divide equation on
parameter of x 3
(A) .The cubic equation has normally three real roots sometimes
all of them different or two of them equal each other and in cases has one real root.
Example:-
I. Roots
II. Roots
III. Root
CODE OF FUNCTION:-
function [ROOT] = CERO(A,B,C)
%UNTITLED Summary of this function goes here
% Detailed explanation goes here
Q=(power(A,2)-3*B)/9;
R=(2*power(A,3)-9*A*B+27*C)./54;
MM=power(R,2)-power(Q,3);
if MM<=0;
THET=acos(R./sqrt(power(Q,3)));
X1=-(2*sqrt(Q)*cos(THET./3))-A./3;
X2=-(2*sqrt(Q)*cos((THET-2*pi)./3))-A./3;
X3=-(2*sqrt(Q)*cos((THET+2*pi)./3))-A./3;
ROOT=[X1 X2 X3];
else
S=-sign(R)*power((abs(R)+sqrt(MM)),1/3);
TT=Q./S;
X1=S+TT-A./3;
ROOT=X1;
end
end

2. Snapshot of MATLAB Screen:-
I Wish You All The Best
Good Luck For All