a) Find the roots of the equation
${z^2} + \left( {2\sqrt 3 } \right)z + 4 = 0$,
giving your answers in the form $x + iy$, where $x$ and $y$ are real.
b) State the modulus and argument of each root.
c) Showing all your working, verify that each root also satisfies the equation
${z^6} = - 64$
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