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2.2 Übungen

Aus Online Mathematik Brückenkurs 1

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{| width="100%" cellspacing="10px"
{| width="100%" cellspacing="10px"
|a)
|a)
-
|width="50%" | <math>\displaystyle\frac{5x}{6}-\displaystyle\frac{x+2}{9}=\displaystyle\frac{1}{2}</math>
+
|width="50%" | <math>\displaystyle\frac{5x}{6}-\displaystyle\frac{x+2}{9}=\displaystyle\frac{1}{2}</math>
|b)
|b)
|width="50%" | <math>\displaystyle\frac{8x+3}{7}-\displaystyle\frac{5x-7}{4}=2</math>
|width="50%" | <math>\displaystyle\frac{8x+3}{7}-\displaystyle\frac{5x-7}{4}=2</math>
Zeile 38: Zeile 38:
|}
|}
</div>{{#NAVCONTENT:Svar|Svar 2.2:2|Lösning a|Lösning 2.2:2a|Lösning b|Lösning 2.2:2b|Lösning c|Lösning 2.2:2c|Lösning d|Lösning 2.2:2d}}
</div>{{#NAVCONTENT:Svar|Svar 2.2:2|Lösning a|Lösning 2.2:2a|Lösning b|Lösning 2.2:2b|Lösning c|Lösning 2.2:2c|Lösning d|Lösning 2.2:2d}}
 +
 +
===Övning 2.2:3===
 +
<div class="ovning">
 +
L&ouml;s ekvationerna
 +
{| width="100%" cellspacing="10px"
 +
|a)
 +
|| <math>\displaystyle\frac{x+3}{x-3}-\displaystyle\frac{x+5}{x-2}=0</math>
 +
|-
 +
|b)
 +
|| <math>\displaystyle\frac{4x}{4x-7}-\displaystyle\frac{1}{2x-3}=1</math>
 +
|-
 +
|c)
 +
|| <math>\left(\displaystyle\frac{1}{x-1}-\frac{1}{x+1}\right)\left(x^2+\frac{1}{2}\right)=\displaystyle\frac{6x-1}{3x-3}</math>
 +
|-
 +
|d)
 +
|| <math>\left(\displaystyle\frac{2}{x}-3\right)\left(\displaystyle\frac{1}{4x}+\frac{1}{2}\right)-\left(\displaystyle\frac{1}{2x}-\frac{2}{3}\right)^2-\left(\displaystyle\frac{1}{2x}+\frac{1}{3}\right)\left(\displaystyle\frac{1}{2x}-\frac{1}{3}\right)=0</math>
 +
|}
 +
</div>{{#NAVCONTENT:Svar|Svar 2.2:3|Lösning a|Lösning 2.2:3a|Lösning b|Lösning 2.2:3b|Lösning c|Lösning 2.2:3c|Lösning d|Lösning 2.2:3d}}

Version vom 12:55, 31. Mär. 2008

 

Vorlage:Mall:Ej vald flik Vorlage:Mall:Vald flik

 

Övning 2.2:1

Lös ekvationerna

a) x2=1 b) 2x+1=13
c) 31x1=x d) 5x+7=2x6

Övning 2.2:2

Lös ekvationerna

a) 65x9x+2=21 b) 78x+345x7=2
c) (x+3)2(x5)2=6x+4 d) (x2+4x+1)2+3x42x2=(2x2+2x+3)2

Övning 2.2:3

Lös ekvationerna

a) x3x+3x2x+5=0
b) 4x4x712x3=1
c) 1x11x+1x2+21=3x36x1 
d) x2314x+2112x32212x+3112x31=0