Question

example with solution MATLAB 4 order

Answer 1

ExAMPLE)

How to solve the value of x for the equation 2x^4+x=18.

Ans)

Yes it's easier when we creat create a vector of its coefficients and use the roots function:

Program:-

% 2x^4+x=18 -> 2x^4 + x -18 = 0
coefvct = [2 0 0 1 -18];     % Coefficient Vector
x = roots(coefvct)              % Solution

Produces:-

x =

-1.7732e+000 + i

41.6666e-003 + 1.7326e+000i

41.6666e-003 - 1.7326e+000i

1.6899e+000 + i

Two real and two complex roots,

2nd example)

2x^4+x=C

C=20,22,24,26,28,30........50

Now, how to find x value at different C values.

Program-

The loop is easiest way:-

C = [20:2:50];                                  % Define ‘C’
X = nan(4, length(C));                          % Preallocate ‘X’
for k1 = 1:length(C)
    X(:,k1) = roots([2 0 0 1 -C(k1)]);        % Coefficient Matrix
end

The ‘X’ matrix is a (4x16) array with each column the coefficients corresponding the the same element in ‘C’.

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