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Show that, for any complex number z, zz = |2|², z+z = 2Re(z) and Re(z) < |z|. Henc show that i. [21 + 22|? = |21|² + |2]? + 2Re(212), ii. [21 + 2| < |21| + |22],

Show that, for any complex number z, zz = |2|², z+z = 2Re(z) and Re(z) < |z|. Henc show that i. [21 + 22|? = |21|² + |2]? + 2Re(212), ii. [21 + 2| < |21| + |22],

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 39E
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Show that, for any complex number z, zz = |2|², z+z = 2Re(z) and Re(z) < |z|. Henc show that i. [21 + 22|? = |21|² + |2]? + 2Re(212), ii. [21 + 2| < |21| + |22],
Transcribed Image Text:Show that, for any complex number z, zz = |2|², z+z = 2Re(z) and Re(z) < |z|. Henc show that i. [21 + 22|? = |21|² + |2]? + 2Re(212), ii. [21 + 2| < |21| + |22],
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