Lösung 2.3:1a - Versionsgeschichte

Markus.bez um 12:25, 9. Jun. 2009

Markus.bez — Tue, 09 Jun 2009 12:25:01 GMT

← Nächstältere Version		Version vom 12:25, 9. Jun. 2009
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	{{Abgesetzte Formel\|\|<math>(x-a)^{2}-a^{2} = x^{2}-2ax\,\textrm{.}</math>}}		{{Abgesetzte Formel\|\|<math>(x-a)^{2}-a^{2} = x^{2}-2ax\,\textrm{.}</math>}}

-	Mit dieser Formel können wir den Ausdruck <math>x^{2}-2ax</math> ~~wie~~ <math>(x-a)^{2}-a^{2}</math> schreiben.	+	Mit dieser Formel können wir den Ausdruck <math>x^{2}-2ax</math> als <math>(x-a)^{2}-a^{2}</math> schreiben.

	Der Ausdruck <math>x^{2}-2x</math> entspricht <math>a=1</math>, und daher haben wir		Der Ausdruck <math>x^{2}-2x</math> entspricht <math>a=1</math>, und daher haben wir

	{{Abgesetzte Formel\|\|<math>x^{2}-2x = (x-1)^{2}-1\,\textrm{.}</math>}}		{{Abgesetzte Formel\|\|<math>x^{2}-2x = (x-1)^{2}-1\,\textrm{.}</math>}}

Martin — Sat, 14 Mar 2009 15:51:08 GMT

← Nächstältere Version		Version vom 15:51, 14. Mär. 2009
Zeile 1:		Zeile 1:
-	~~If we consider the rule~~	+	Wir betrachten die binomische Formel

	{{Abgesetzte Formel\|\|<math>(x-a)^{2} = x^{2}-2ax+a^{2}</math>}}		{{Abgesetzte Formel\|\|<math>(x-a)^{2} = x^{2}-2ax+a^{2}</math>}}

-	~~and move~~ <math>a^{2}</math> ~~over to the left-hand side, we obtain the formula~~	+	und subtrahieren <math>a^{2}</math> von beiden Seiten

	{{Abgesetzte Formel\|\|<math>(x-a)^{2}-a^{2} = x^{2}-2ax\,\textrm{.}</math>}}		{{Abgesetzte Formel\|\|<math>(x-a)^{2}-a^{2} = x^{2}-2ax\,\textrm{.}</math>}}

-	~~With the help of this formula, we can rewrite (complete the square of) a mixed expression~~ <math>x^{2}-2ax</math> ~~to a obtain a quadratic expression,~~ <math>(x-a)^{2}-a^{2}</math>.	+	Mit dieser Formel können wir den Ausdruck <math>x^{2}-2ax</math> wie <math>(x-a)^{2}-a^{2}</math> schreiben.

-	~~The expression~~ <math>x^{2}-2x</math> ~~corresponds to~~ <math>a=1</math> ~~in the formula above and thus~~	+	Der Ausdruck <math>x^{2}-2x</math> entspricht <math>a=1</math>, und daher haben wir

	{{Abgesetzte Formel\|\|<math>x^{2}-2x = (x-1)^{2}-1\,\textrm{.}</math>}}		{{Abgesetzte Formel\|\|<math>x^{2}-2x = (x-1)^{2}-1\,\textrm{.}</math>}}

Tekbot — Wed, 22 Oct 2008 14:05:05 GMT

hat „Solution 2.3:1a“ nach „Lösung 2.3:1a“ verschoben: Robot: moved page

← Nächstältere Version

Version vom 14:05, 22. Okt. 2008

Tekbot — Wed, 22 Oct 2008 08:30:58 GMT

Robot: Automated text replacement (-{{Displayed math +{{Abgesetzte Formel)

← Nächstältere Version		Version vom 08:30, 22. Okt. 2008
Zeile 1:		Zeile 1:
	If we consider the rule		If we consider the rule

-	{{~~Displayed math~~\|\|<math>(x-a)^{2} = x^{2}-2ax+a^{2}</math>}}	+	{{Abgesetzte Formel\|\|<math>(x-a)^{2} = x^{2}-2ax+a^{2}</math>}}

	and move <math>a^{2}</math> over to the left-hand side, we obtain the formula		and move <math>a^{2}</math> over to the left-hand side, we obtain the formula

-	{{~~Displayed math~~\|\|<math>(x-a)^{2}-a^{2} = x^{2}-2ax\,\textrm{.}</math>}}	+	{{Abgesetzte Formel\|\|<math>(x-a)^{2}-a^{2} = x^{2}-2ax\,\textrm{.}</math>}}

	With the help of this formula, we can rewrite (complete the square of) a mixed expression <math>x^{2}-2ax</math> to a obtain a quadratic expression, <math>(x-a)^{2}-a^{2}</math>.		With the help of this formula, we can rewrite (complete the square of) a mixed expression <math>x^{2}-2ax</math> to a obtain a quadratic expression, <math>(x-a)^{2}-a^{2}</math>.
Zeile 11:		Zeile 11:
	The expression <math>x^{2}-2x</math> corresponds to <math>a=1</math> in the formula above and thus		The expression <math>x^{2}-2x</math> corresponds to <math>a=1</math> in the formula above and thus

-	{{~~Displayed math~~\|\|<math>x^{2}-2x = (x-1)^{2}-1\,\textrm{.}</math>}}	+	{{Abgesetzte Formel\|\|<math>x^{2}-2x = (x-1)^{2}-1\,\textrm{.}</math>}}

Tek — Fri, 26 Sep 2008 13:22:29 GMT

← Nächstältere Version		Version vom 13:22, 26. Sep. 2008
Zeile 1:		Zeile 1:
-	If we consider the ~~squaring~~ rule	+	If we consider the rule

		+	{{Displayed math\|\|<math>(x-a)^{2} = x^{2}-2ax+a^{2}</math>}}

-	<math>~~\left( x-a \right)^{2}=x^{2}-2ax+~~a^{2}</math>	+	and move <math>a^{2}</math> over to the left-hand side, we obtain the formula

-	~~and move~~	+	{{Displayed math\|\|<math>(x-a)^{2}-a^{2} = x^{2}-2ax\,\textrm{.}</math>}}
-	<math>a^{2}</math>	+
-	~~over to the left-hand side, we obtain the formula~~	+

		+	With the help of this formula, we can rewrite (complete the square of) a mixed expression <math>x^{2}-2ax</math> to a obtain a quadratic expression, <math>(x-a)^{2}-a^{2}</math>.

-	<math>~~\left(~~ x~~-a \right)~~^{2}-a~~^{2}~~=~~x^{2}-2ax~~</math>	+	The expression <math>x^{2}-2x</math> corresponds to <math>a=1</math> in the formula above and thus

-		+	{{Displayed math\|\|<math>x^{2}-2x = (x-1)^{2}-1\,\textrm{.}</math>}}
-	~~<math></math>~~	+
-		+
-		+
-	~~With the help of this formula, we can rewrite (complete the square of) a mixed expression~~	+
-	~~<math>x^~~{~~2}-2ax</math>~~	+
-	~~to a obtain a quadratic expression,~~	+
-	~~<math>\left( x-a \right)^~~{~~2}-a^{2}</~~math>	+
-	.	+
-		+
-	~~The expression~~	+
-	<math>x^{2}-2x~~</math>~~	+
-	~~corresponds to~~	+
-	~~<math>a~~=~~1</math>~~	+
-	~~in the formula above and thus~~	+
-		+
-		+
-	~~<math>x^{2}-2x=\left~~( x-1 ~~\right~~)^{2}-1</math>	+

Ian — Fri, 12 Sep 2008 09:53:23 GMT

← Nächstältere Version		Version vom 09:53, 12. Sep. 2008
Zeile 1:		Zeile 1:
-	{{~~NAVCONTENT_START~~}}	+	If we consider the squaring rule
-	<~~center~~> ~~[[Image:2_3_1a.gif]]~~ </~~center~~>	+
-	{{~~NAVCONTENT_STOP~~}}	+
		+	<math>\left( x-a \right)^{2}=x^{2}-2ax+a^{2}</math>
		+
		+	and move
		+	<math>a^{2}</math>
		+	over to the left-hand side, we obtain the formula
		+
		+
		+	<math>\left( x-a \right)^{2}-a^{2}=x^{2}-2ax</math>
		+
		+
		+	<math></math>
		+
		+
		+	With the help of this formula, we can rewrite (complete the square of) a mixed expression
		+	<math>x^{2}-2ax</math>
		+	to a obtain a quadratic expression,
		+	<math>\left( x-a \right)^{2}-a^{2}</math>
		+	.
		+
		+	The expression
		+	<math>x^{2}-2x</math>
		+	corresponds to
		+	<math>a=1</math>
		+	in the formula above and thus
		+
		+
		+	<math>x^{2}-2x=\left( x-1 \right)^{2}-1</math>

Tekbot — Tue, 09 Sep 2008 08:54:43 GMT

← Nächstältere Version

Version vom 08:54, 9. Sep. 2008

Tekbot — Thu, 21 Aug 2008 06:44:29 GMT

Robot: Automated text replacement (-[[Bild: +[[Image:)

Oskar — Tue, 01 Apr 2008 09:53:24 GMT

Ny sida: {{NAVCONTENT_START}} <center> Bild:2_3_1a.gif </center> {{NAVCONTENT_STOP}}

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