Question: Answer the following question about complex numbers: PART B: Complex Numbers 23. [2 marks] Find the real values of i + i3 and i+ i2

Answer the following question about complex numbers:

PART B: Complex Numbers 23. [2 marks] Find the real values of i + i3 and i+ i2 + i3 + 1"\" , where i is the imaginary unit. 2b. [2 marks] Express :71 in the algebraic form [that is, a + bi where a, b are real numbers]. 2c. [3 marks] 3: 3+1 . ,, . . . . . If w = (m + a) , what 1s the value of w w ? [The operation I: Indicates conlugatlonJ From the result obtained, is w a real number, purely imaginary or neither of them? 2d. [4 marks] Find all complex numbers 2 = x + iy such that z + 1 = 2i (2 1)

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