Solution of symbolic fourth order polynomial equation

34 vues (au cours des 30 derniers jours)
Susmita Panda
Susmita Panda le 13 Nov 2021
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.

Réponse acceptée

VBBV
VBBV le 13 Nov 2021
Modifié(e) : VBBV le 13 Nov 2021
A = 2;
B = 1.4;
C = 3
C = 3
syms L
eqn = L^4 + A*L^2 - B*L + C == 0
eqn = 
sol = double(vpasolve(eqn,2))
sol =
-0.6390 + 1.3986i -0.6390 - 1.3986i 0.6390 + 0.9277i 0.6390 - 0.9277i
Try using vpasolve

Plus de réponses (2)

hiluf
hiluf le 19 Oct 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));

Walter Roberson
Walter Roberson le 19 Oct 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
eqn = 
sol_root = solve(eqn)
sol_root = 
sol_full = solve(eqn, 'maxdegree', 4)
sol_full = 

Catégories

En savoir plus sur Symbolic Math Toolbox dans Help Center et File Exchange

Tags

Produits


Version

R2021b

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by