MATLAB: Cube root of a complex function

MATLAB

I need to solve Z^3 = -8-3i, and obtain all cube roots of -8-3i showing that the sum of the cube roots is zero using matlab.

Best Answer

syms Z
ROOTS=solve(Z^3 == -8-3i,Z)
logical(sum(ROOTS)==0)

Related Solutions

MATLAB: How do you enter the command for a cube root

Two simple options:

x^(1/3)

Or,

nthroot(x,3)

Be very careful though. If x is negative, it will return a complex number, because there are indeed THREE cube roots of a negative number. Two of them are complex. nthroot will give you the root you would expect however.

(-2)^(1/3)
ans =
      0.62996 +     1.0911i
nthroot(-2,3)
ans =
      -1.2599

In your case, it is not relevant, since the number will be non-negative.

MATLAB: Can someone write an example of using the secant method to find roots of equations

You can find an example here:

http://en.wikipedia.org/wiki/Secant_method

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MATLAB: How do you enter the command for a cube root

MATLAB: Can someone write an example of using the secant method to find roots of equations

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