1.4 Lösning 9c - Versionshistorik

Taifun den 3 augusti 2014 kl. 22.31

2014-08-03T22:31:16Z

2014-08-03T22:30:02Z

2014-08-03T22:25:40Z

2014-08-03T22:22:35Z

2014-08-03T22:21:12Z

2012-09-20T22:45:53Z

2012-09-20T22:42:16Z

2012-09-20T22:41:43Z

2012-09-20T22:39:50Z

2012-09-20T22:36:40Z

← Äldre version		Versionen från 3 augusti 2014 kl. 22.31
Rad 5:		Rad 5:


−	<big><big><math> = \, {(y+x)\,(y-x) \over y^2}\, \cdot \,{y \over y - x} \, = \, {(y+x)\,(y-x) \cdot y \over y^2 \cdot (y - x)} \, = \, {y+x \over y} \, = \, {y \over y} + {x \over y} </math></big></big> <math> = 1 + </math> <big><big><math> {x \over y} </math></big></big>	+	<big><big><math> = {(y+x)\,(y-x) \over y^2} \cdot {y \over y - x} = {(y+x)\,(y-x) \cdot y \over y^2 \cdot (y - x)} = {y+x \over y} = {y \over y} + {x \over y} </math></big></big> <math> = 1 + </math> <big><big><math> {x \over y} </math></big></big>

← Äldre version		Versionen från 3 augusti 2014 kl. 22.30
Rad 5:		Rad 5:


−	<big><big><math> = \, {(y+x)\,(y-x) \over y^2}\, \cdot \,{y \over y - x} \, = \, {(y+x)\,(y-x) \cdot y \over y^2 \cdot (y - x)} \, = \, {y+x \over y} \, = \, {y \over y} + {x \over y} \, = \, 1 + {x \over y} </math></big></big>	+	<big><big><math> = \, {(y+x)\,(y-x) \over y^2}\, \cdot \,{y \over y - x} \, = \, {(y+x)\,(y-x) \cdot y \over y^2 \cdot (y - x)} \, = \, {y+x \over y} \, = \, {y \over y} + {x \over y} </math></big></big> <math> = 1 + </math> <big><big><math> {x \over y} </math></big></big>

← Äldre version		Versionen från 3 augusti 2014 kl. 22.25
Rad 5:		Rad 5:


−	<big><big><math> = \, {(y+x)\,(y-x) \over y^2}\, \cdot \,{y \over y - x} \, = \, {(y+x)\,(y-x) \cdot y \over y^2 \cdot (y - x)} \, = \, {y+x \over y} \, = \, 1 + {x \over y} </math></big></big>	+	<big><big><math> = \, {(y+x)\,(y-x) \over y^2}\, \cdot \,{y \over y - x} \, = \, {(y+x)\,(y-x) \cdot y \over y^2 \cdot (y - x)} \, = \, {y+x \over y} \, = \, {y \over y} + {x \over y} \, = \, 1 + {x \over y} </math></big></big>

@@ Rad 1: / Rad 1: @@
-<big><big><math> \left(1 - {x^2 \over y^2}\right)\, \Big / \,\left(1 - {x \over y}\right) \, = \, \left({y^2 \over y^2} - {x^2 \over y^2}\right)\, \Big / \,\left({y \over y} - {x \over y}\right) \, = </math>
+<big><math> \left(1 - {x^2 \over y^2}\right)\, \Big / \,\left(1 - {x \over y}\right) \, = \, \left({y^2 \over y^2} - {x^2 \over y^2}\right)\, \Big / \,\left({y \over y} - {x \over y}\right) \, = </math>
-<math> = \, \left({y^2 - x^2 \over y^2}\right)\, \Big / \,\left({y - x \over y}\right) \, = \, \left({y^2 - x^2 \over y^2}\right)\, \cdot \,\left({y \over y - x}\right) \, = </math>
+<math> = \, \left({y^2 - x^2 \over y^2}\right)\, \Big / \,\left({y - x \over y}\right) \, = \, \left({y^2 - x^2 \over y^2}\right)\, \cdot \,\left({y \over y - x}\right) \, = </math></big>
-<math> = \, {(y+x)\,(y-x) \over y^2}\, \cdot \,{y \over y - x} \, = \, {(y+x)\,(y-x) \cdot y \over y^2 \cdot (y - x)} \, = \, {y+x \over y} \, = \, 1 + {x \over y} </math></big></big>
+<big><big><math> = \, {(y+x)\,(y-x) \over y^2}\, \cdot \,{y \over y - x} \, = \, {(y+x)\,(y-x) \cdot y \over y^2 \cdot (y - x)} \, = \, {y+x \over y} \, = \, 1 + {x \over y} </math></big></big>

@@ Rad 1: / Rad 1: @@
-<math> \left(1 - {x^2 \over y^2}\right)\, \Bigg / \,\left(1 - {x \over y}\right) \, = \, \left({y^2 \over y^2} - {x^2 \over y^2}\right)\, \Bigg / \,\left({y \over y} - {x \over y}\right) \, = </math>
+<big><big><math> \left(1 - {x^2 \over y^2}\right)\, \Big / \,\left(1 - {x \over y}\right) \, = \, \left({y^2 \over y^2} - {x^2 \over y^2}\right)\, \Big / \,\left({y \over y} - {x \over y}\right) \, = </math>
-<math> = \, \left({y^2 - x^2 \over y^2}\right)\, \Bigg / \,\left({y - x \over y}\right) \, = \, \left({y^2 - x^2 \over y^2}\right)\, \cdot \,\left({y \over y - x}\right) \, = </math>
+<math> = \, \left({y^2 - x^2 \over y^2}\right)\, \Big / \,\left({y - x \over y}\right) \, = \, \left({y^2 - x^2 \over y^2}\right)\, \cdot \,\left({y \over y - x}\right) \, = </math>
-<math> = \, {(y+x)\,(y-x) \over y^2}\, \cdot \,{y \over y - x} \, = \, {(y+x)\,(y-x) \cdot y \over y^2 \cdot (y - x)} \, = \, {y+x \over y} \, = \, 1 + {x \over y} </math>
+<math> = \, {(y+x)\,(y-x) \over y^2}\, \cdot \,{y \over y - x} \, = \, {(y+x)\,(y-x) \cdot y \over y^2 \cdot (y - x)} \, = \, {y+x \over y} \, = \, 1 + {x \over y} </math></big></big>

← Äldre version		Versionen från 20 september 2012 kl. 22.45
Rad 5:		Rad 5:


−	<math> = \, {(y+x)\,(y-x) \over y^2}\, \cdot \,{y \over y - x} \, = \, {(y+x)\,(y-x) \cdot y \over y^2 \cdot (y - x)} \, = \, = {y+x \over y} </math>	+	<math> = \, {(y+x)\,(y-x) \over y^2}\, \cdot \,{y \over y - x} \, = \, {(y+x)\,(y-x) \cdot y \over y^2 \cdot (y - x)} \, = \, {y+x \over y} \, = \, 1 + {x \over y} </math>

← Äldre version		Versionen från 20 september 2012 kl. 22.42
Rad 6:		Rad 6:

	<math> = \, {(y+x)\,(y-x) \over y^2}\, \cdot \,{y \over y - x} \, = \, {(y+x)\,(y-x) \cdot y \over y^2 \cdot (y - x)} \, = \, = {y+x \over y} </math>		<math> = \, {(y+x)\,(y-x) \over y^2}\, \cdot \,{y \over y - x} \, = \, {(y+x)\,(y-x) \cdot y \over y^2 \cdot (y - x)} \, = \, = {y+x \over y} </math>
−
−
−	~~<math> \left({a^2 - 6\,a + 9 \over b^6}\right)\, \Bigg / \,\left({a - 3 \over b^5}\right) \, = \, \left({a^2 - 6\,a + 9 \over b^6}\right)\, \cdot \,\left({b^5 \over a - 3}\right) \, = \, </math>~~
−
−
−	~~<math> = \, {(a-3)^2 \over b^6}\, \cdot \,{b^5 \over a - 3} \, = \, {(a-3)^2 \cdot b^5 \over b^6 \cdot (a - 3)} \, = {a-3 \over b} </math>~~

← Äldre version		Versionen från 20 september 2012 kl. 22.36
Rad 3:		Rad 3:

	<math> = \, \left({y^2 - x^2 \over y^2}\right)\, \Bigg / \,\left({y - x \over y}\right) \, = \, \left({y^2 - x^2 \over y^2}\right)\, \cdot \,\left({y \over y - x}\right) \, = </math>		<math> = \, \left({y^2 - x^2 \over y^2}\right)\, \Bigg / \,\left({y - x \over y}\right) \, = \, \left({y^2 - x^2 \over y^2}\right)\, \cdot \,\left({y \over y - x}\right) \, = </math>
		+
		+
		+	<math> = \, {(y+x)\,(y-x) \over y^2}\, \cdot \,{y \over y - x} \, = </math>