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Lösung 3.4:3

Aus Online Mathematik Brückenkurs 2

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Version vom 10:52, 11. Mär. 2009

A polynomial equation which has real coefficients always has complex conjugate roots. We can therefore say directly that the equation, in addition to the roots z=2i and z=−1+i, has roots z=2i=−2i and z=−1+i=−1−i. Because the equation is of degree 4, it does not have more than 4 roots.

The answer is thus

z=2i−2i−1+i−1−i.
Von „http://wiki.math.se/wikis/2009/bridgecourse2-TU-Berlin/index.php/L%C3%B6sung_3.4:3“