Question 10 The complex number B is given by B (1- t) + (2t)i, where t is real. II tan) (i) Show that IB = 1 + t2 and arg(B) 0 where t = t (ii) Write down the modulus and argument of one square root of B, and hence if z2 = B, write z in the form a + ib where a and b are real. (iii) Hence find the two square roots of -8+ 6i
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Question 10 The complex number B is given by B (1- t) + (2t)i, where t is real. II tan) (i) Show that IB = 1 + t2 and arg(B) 0 where t = t (ii) Write down the modulus and argument of one square root of B, and hence if z2 = B, write z in the form a + ib where a and b are real. (iii) Hence find the two square roots of -8+ 6i
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