Aus Online Mathematik Brückenkurs 2

Version vom 11:57, 29. Okt. 2008 (bearbeiten) Tek (Diskussion | Beiträge) K ← Zum vorherigen Versionsunterschied		Version vom 13:08, 10. Mär. 2009 (bearbeiten) (rückgängig) Tekbot (Diskussion | Beiträge) K (Robot: Automated text replacement (-{{Displayed math +{{Abgesetzte Formel)) Zum nächsten Versionsunterschied →
Zeile 1:		Zeile 1:
	We calculate what the expression will be		We calculate what the expression will be
-	{{Displayed math||<math>(2-i)+(5+3i) = 2+5+(-1+3)i = 7+2i</math>}}	+	{{Abgesetzte Formel||<math>(2-i)+(5+3i) = 2+5+(-1+3)i = 7+2i</math>}}
	and then calculate the magnitude,		and then calculate the magnitude,
-	{{Displayed math||<math>|7+2i| = \sqrt{7^2+2^2} = \sqrt{49+4} = \sqrt{53}\,\textrm{.}</math>}}	+	{{Abgesetzte Formel||<math>|7+2i| = \sqrt{7^2+2^2} = \sqrt{49+4} = \sqrt{53}\,\textrm{.}</math>}}
	Note: It is not possible to calculate the magnitude of the terms individually		Note: It is not possible to calculate the magnitude of the terms individually
-	{{Displayed math||<math>|(2-i)+(5+3i)| \ne |2-i| + |5+3i|\,\textrm{.}</math>}}	+	{{Abgesetzte Formel||<math>|(2-i)+(5+3i)| \ne |2-i| + |5+3i|\,\textrm{.}</math>}}

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Version vom 13:08, 10. Mär. 2009

We calculate what the expression will be

\displaystyle (2-i)+(5+3i) = 2+5+(-1+3)i = 7+2i

and then calculate the magnitude,

\displaystyle |7+2i| = \sqrt{7^2+2^2} = \sqrt{49+4} = \sqrt{53}\,\textrm{.}

Note: It is not possible to calculate the magnitude of the terms individually

\displaystyle |(2-i)+(5+3i)| \ne |2-i| + |5+3i|\,\textrm{.}