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Wiskunde regels (locked)

0 Posted 29 April 2011 12:01
User avatar
kirschplunder
Posts: 37
Lemma:
4 = 5

Bewijs:
16 - 36 = 25 - 45
<=> 16 - 36 + 4,5² = 25 - 45 + 4,5²
<=> 4² - 2*4,5*4 + 4,5² = 5² - 2*4,5*5 + 4,5²
<=> (4 - 4,5)² = (5 - 4,5)²
<=> 4 - 4,5 = 5 - 4,5
<=> 4 = 5

Wat te bewijzen was.
1 Posted 29 April 2011 12:02
User avatar
kirschplunder
Posts: 37
Lemma:
5 = 7

Bewijs:
5 + 2 = 7
<=> 5 * (5 + 2) = 5 * 7
<=> 25 + 10 = 35
<=> 25 + 10 - 35 = 35 - 35
<=> 25 + 10 - 35 = 35 - 35 - 14 + 14
<=> 25 + 10 - 35 = 35 + 14 - 49
<=> 5 * (5 + 2 - 7) = 7 * (5 + 2 - 7)
<=> 5 = 7

Wat te bewijzen was.
2 Posted 29 April 2011 12:07
User avatar
Rick Hendricksen
Administrator
Posts: 2251
Quoting: @0
Lemma:
4 = 5

Bewijs:
16 - 36 = 25 - 45
<=> 16 - 36 + 4,5² = 25 - 45 + 4,5²
<=> 4² - 2*4,5*4 + 4,5² = 5² - 2*4,5*5 + 4,5²
<=> (4 - 4,5)² = (5 - 4,5)²
<=> 4 - 4,5 = 5 - 4,5
<=> 4 = 5

Wat te bewijzen was.
Faal met wortel trekken.
3 Posted 29 April 2011 22:38
User avatar
marinus
Trustworthy
Posts: 962
Quoting: @1
Lemma:
5 = 7

Bewijs:
5 + 2 = 7
<=> 5 * (5 + 2) = 5 * 7
<=> 25 + 10 = 35
<=> 25 + 10 - 35 = 35 - 35
<=> 25 + 10 - 35 = 35 - 35 - 14 + 14
<=> 25 + 10 - 35 = 35 + 14 - 49
<=> 5 * (5 + 2 - 7) = 7 * (5 + 2 - 7)
<=> 5 = 7

Wat te bewijzen was.


Delen door 0
4 Posted 29 April 2011 23:23
User avatar
00T00
Global Mod.
Posts: 1048
x = 0.999...
10x = 9.999...
10x-x = 9.999...-0.999...
9x = 9
x = 1
0.999... = 1

of

1/3 = 0.333...
3/3 = 0.999...
1 = 0.999...
5 Posted 30 April 2011 12:31
User avatar
Kebabbi
Moderator
Posts: 549
dus wat jij wilt zeggen is dat 1/oneindig = 0 ??? :O :O
6 Posted 30 April 2011 13:04
User avatar
Rick Hendricksen
Administrator
Posts: 2251
 lim      1/n = 0
n->inf
Dus, 1/inf is idd 0.
7 Posted 30 April 2011 15:14
User avatar
Kebabbi
Moderator
Posts: 549
Quoting: @6
  1. lim 1/n = 0
  2. n->inf
Dus, 1/inf is idd 0.


zo werkt 'n bewijs niet
8 Posted 30 April 2011 17:10
User avatar
Rick Hendricksen
Administrator
Posts: 2251
Ok, dat is geen bewijs, maar gewoon een manier van opschrijven.
9 Posted 01 May 2011 00:23
User avatar
marinus
Trustworthy
Posts: 962
Quoting: @4
x = 0.999...
10x = 9.999...
10x-x = 9.999...-0.999...
9x = 9

x = 1
0.999... = 1

of

1/3 = 0.333...
3/3 = 0.999...
1 = 0.999...


:/
10 Posted 01 May 2011 16:37
User avatar
00T00
Global Mod.
Posts: 1048
Quoting: @9
Quoting: @4
x = 0.999...
10x = 9.999...
10x-x = 9.999...-0.999...
9x = 9

x = 1
0.999... = 1

of

1/3 = 0.333...
3/3 = 0.999...
1 = 0.999...


:/


http://en.wikipedia.org/wiki/0.999...%3D1
© Rick Hendricksen