Question about Complex Numbers: Conjugate
Subject Mathematics
Mathematics
Source Originais Teachy
Originais Teachy
Topic Complex Numbers: Conjugate
Complex Numbers: Conjugate
Difficulty Very Hard
Very Hard
(Originais Teachy 2023) - Question Very Hard of Mathematics
Consider the complex number z = 3 + 4i. Let w be the conjugate of the complex number z. Knowing that the conjugate of a complex number is obtained by changing the sign of the imaginary part, determine the relationship between z and w in order to ensure that the sum z + w is a real number. Justify your answer mathematically, demonstrating why the sum z + w results in a real number based on the definition of complex numbers and the property of sum of conjugates.Answer sheet:
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