# how to plot this equation

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shiv gaur on 15 Sep 2022
Commented: shiv gaur on 15 Sep 2022
equation is
x^6+k^2*X4+k*x^2+3=0;
by varying the value of k=1:10
plot the graph between real(x) vs k
##### 2 CommentsShowHide 1 older comment
shiv gaur on 15 Sep 2022
equation is this type in 123and plot is this type 1234
prameter are Ct =0.5 Cr=1.5 wj =0

Torsten on 15 Sep 2022
Edited: Torsten on 15 Sep 2022
syms x y k
f = y^3 + k^2*y^2 + k*y + 3;
s = solve(f==0,y,'Maxdegree',3);
s1 = sqrt(s);
s2 = -sqrt(s);
k = 0:0.1:10;
s11 = matlabFunction(s1(1));
s12 = matlabFunction(s1(2));
s13 = matlabFunction(s1(3));
s21 = matlabFunction(s2(1));
s22 = matlabFunction(s2(2));
s23 = matlabFunction(s2(3));
plot(k,[real(s11(k));real(s12(k));real(s13(k));real(s21(k));real(s22(k));real(s23(k))])

Sam Chak on 15 Sep 2022
This only shows the propagation of the complex-valued roots of the 6th-order polynomial equation for the integer .
So, you want to extract the real part of the roots?
k = 1:10;
hold on
for j = 1:length(k)
num = 3;
den = [1 0 k(j)^2 0 k(j) 0 3];
r = rlocus(num, den, 1);
plot(r, 'o')
end
hold off
title('Root Locus Plot')
grid on, xlabel('Real axis'), ylabel('Imaginary axis')
##### 2 CommentsShowHide 1 older comment
shiv gaur on 15 Sep 2022
sir I have sent fig file as well as equation file pl help this

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