Question 9 The complex number z has |z| = 1 and arg(z) 6 (i) Find a quadratic equation for which z and z are roots. (ii) The points represented by the complex numbers z, 0, and w form an equilateral...

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Extracted text: Question 9 The complex number z has |z| = 1 and arg(z) 6 (i) Find a quadratic equation for which z and z are roots. (ii) The points represented by the complex numbers z, 0, and w form an equilateral triangle on the Argand plane. Find a possible complex number w.