Solve cubic equation in MATLAB
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I need to solve a cubic equation but I don't know how to do it. Here is my coding:
B=80.73233784;
xc=152.01;
R=82.05746;
for i=1:0.1:200
x(i)=-50+i;
y(i)=(10^(7.23086-(1175.581/(x(i)+271.079))))*0.001315789473684;
a(i)=y(i)/(R*x(i));
b(i)=(4.9343*((xc/x(i))^1.5)*B)-B-((y(i)/(R*x(i)))*(B^2));
c(i)=4.9343*((xc/x(i))^1.5)*(B^2);
m=[a -1 b -c];
r=roots(m);
end
This is my equation to be solved for "v": ((a(i)*(v^3))-(v^2)+(b(i)*v)-c(i))=0;
Here "a", "b" and "c" changes with respect to "x" and "y". I want to eliminate the negative and complex roots but I am unable to do so. Moreover program shows error that roots can't be found. I am new to MATLAB and don't know much about its functions. Kindly help me. Thank you.
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