Solution of symbolic fourth order polynomial equation
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I am finding difficulty in finding roots of a fourth order polynomial equation which as as follows:
lambda^4+A*lambda^2-B*lambda+C=0
where A, B, and C are constants. I used function roots() function in matlab, but it doesnt worked.
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hiluf
il 19 Ott 2023
a=-32;
b=4;
c=-8;
d=4;
syms L
egn=L*exp(4)+L*exp(2)+L*c+d==0;
sol = double(vpasolve(eqn,2));
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Walter Roberson
il 19 Ott 2023
You can get the complete symbolic solution... or a placeholder form that in practice is much more convenient.
syms lambda A B C
eqn = lambda^4+A*lambda^2-B*lambda+C == 0
sol_root = solve(eqn)
sol_full = solve(eqn, 'maxdegree', 4)
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