4. (a) (i) Calculate (4 + 6i)².

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter1: Equations And Inequalities
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Problem 67E: 67. Calculate the discriminant associated with the equation 6x2+5x+1=0.
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4. (a) (i) Calculate (4 + 6i)².
(ii) Hence, and without using a calculator, determine all solutions of the quadratic
equation
z²+6iz-4- 12i = 0.
(b) Determine all solutions of
(z)² + 2z+3=0.
Transcribed Image Text:4. (a) (i) Calculate (4 + 6i)². (ii) Hence, and without using a calculator, determine all solutions of the quadratic equation z²+6iz-4- 12i = 0. (b) Determine all solutions of (z)² + 2z+3=0.
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