Explanation Formula used: “The product of a complex number and its conjugate is a nonnegative real number. That is, ( a + b i ) ( a − b i ) = a 2 + b 2 .” Calculation: The given complex number is − 6 + 2 i . The reciprocal of the complex number is 1 − 6 + 2 i . Multiply the numerator and denominator by − 6 − 2 i to write the expression 1 − 6 + 2 i in the standard form of a complex number. 1 − 6 + 2 i = 1 − 6 + 2 i ⋅ − 6 − 2 i − 6 − 2 i = ( 1 ) ( − 6 − 2 i ) ( − 6 + 2 i ) ( − 6 − 2 i )

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ISBN: 9780134556079

Author: Sullivan, Michael, III, Struve, Katherine R., Mazzarella, Janet.

Publisher: Pearson,

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Chapter 9.9, Problem 122E

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The reciprocal of the complex number −6+2i and write it in a standard form.

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Chapter 9.9, Problem 121E

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The reciprocal of the complex number − 6 + 2 i and write it in a standard form.

Solution Summary: The author calculates the reciprocal of the complex number -6+2i and writes it in a standard form.

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The reciprocal of the complex number −6+2i and write it in a standard form.

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