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Lösung 3.3:3b

Aus Online Mathematik Brückenkurs 2

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When we complete the square, we replace all z-terms in the second-degree expression with a quadratic term which contains z, according to the formula

z2+az=z+2a22a2. 

In our case, we set a=3i in order to complete the square,

z2+3iz41=z+23i223i241=z+23i249(1)41=z+23i2+2.