(a) Given w = √3-i, (i) express w in polar form. (ii) find all the roots of 25 = √3-i in polar form. Show all the roots on an Argand diagram. (b) Use de Moivre's theorem to show that cos 50 = 16 cos5 - 20 cos³ 0+5 cos 0. Hence, solve 32r³-402³ + 10x = √√3.

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