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Lösung 3.4:3

Aus Online Mathematik Brückenkurs 2

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K (Robot: Automated text replacement (-{{Displayed math +{{Abgesetzte Formel))
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The answer is thus
The answer is thus
-
{{Displayed math||<math>z = \left\{\begin{align}
+
{{Abgesetzte Formel||<math>z = \left\{\begin{align}
&\phantom{+}2i\,,\\[5pt]
&\phantom{+}2i\,,\\[5pt]
&-2i\,,\\[5pt]
&-2i\,,\\[5pt]

Version vom 13:15, 10. 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“