5.2 Exercises

From Förberedande kurs i matematik 1

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|width="100%" | <math>x^2-6x+1=0\quad ?\quad (x-3)^2-9+1=0</math>
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</div>{{#NAVCONTENT:Solution|Solution 5.2:1}}
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Revision as of 15:27, 27 January 2009

       Theory          Exercises      

Exercise 5.2:1

Which of the arrows \displaystyle \Rightarrow, \displaystyle \Leftarrow or \displaystyle \Leftrightarrow should you insert between the following equations? (Instead of the question mark.)

a) \displaystyle \tan x(\sin x+1) = 2\tan x\quad ?\quad\sin x+1=2
b) \displaystyle \sqrt{x-1} = x+1\quad ?\quad x-1 = (x+1)^2
c) \displaystyle x^2-6x+1=0\quad ?\quad (x-3)^2-9+1=0


Exercise 5.2:2

Criticize the following excerpt from a solution made by a student.


Exercise 5.2:3

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Exercise 5.2:4

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Exercise 5.2:5

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Exercise 5.2:6

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Exercise 5.2:7

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Exercise 5.2:8

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Exercise 5.2:9

Criticize the following excerpt from a solution made by a student.