how to plot this equation

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

[Torsten]

For each value of k, you get 6 values for x. So what do you want to plot ? Trace one x-value over the k-range ?

[shiv gaur]

equation is this type in 123and plot is this type 1234

prameter are Ct =0.5 Cr=1.5 wj =0

Answer 1

[Torsten]

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))])

Answer 2

[Sam Chak]

@shiv gaur,

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')

[Sam Chak]

Continuation.

Not sure if this is what you want...

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(k(j), real(r), 'o')
end
hold off
grid on, xlabel('\it{k}'), ylabel('Re(\it{x})')

[shiv gaur]

sir I have sent fig file as well as equation file pl help this