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One equals two

6 years ago
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Harrow
Harrow
NSW
4521 posts
Harrow Harrow
NSW, 4521 posts
2 Jan 2020 9:22am
Let A = B,

-A.B = -B^2 (multiply both sides by minus B)

A^2 - A.B = A^2 - B^2 (add A-squared to both sides)

A.(A-B) = (A+B).(A-B) (factorise)

A = A + B (divide both sides by (A-B))

A = 2.A (substitute A = B, from the initial assumption)

1 = 2 (divide both sides by A)

q.e.d.
Mr Milk
Mr Milk
NSW
3137 posts
Mr Milk Mr Milk
NSW, 3137 posts
2 Jan 2020 9:45am
I got caught out by that in 3rd or 4th form. It should have made me realise I wasn't actually top of the class by a country kilometre
GreenPat
GreenPat
QLD
4103 posts
GreenPat GreenPat
QLD, 4103 posts
2 Jan 2020 9:13am
Reminds me of

Poodle
Poodle
WA
868 posts
Poodle Poodle
WA, 868 posts
2 Jan 2020 9:21am
Harrow said..
Let A = B,

-A.B = -B^2 (multiply both sides by minus B)

A^2 - A.B = A^2 - B^2 (add A-squared to both sides)

A.(A-B) = (A+B).(A-B) (factorise)

A = A + B (divide both sides by (A-B))

A = 2.A (substitute A = B, from the initial assumption)

1 = 2 (divide both sides by A)

q.e.d.


Divide both sides by (A-B)? Divide by zero doesnt work in maths
eppo
eppo
WA
9790 posts
eppo eppo
WA, 9790 posts
2 Jan 2020 9:54am
Nice spot. Even my specialist kids take a while to see that one ....
Macroscien
Macroscien
QLD
6809 posts
Macroscien Macroscien
QLD, 6809 posts
2 Jan 2020 12:05pm
Poodle said..



Harrow said..
Let A = B,

-A.B = -B^2 (multiply both sides by minus B)

A^2 - A.B = A^2 - B^2 (add A-squared to both sides)

A.(A-B) = (A+B).(A-B) (factorise)

A = A + B (divide both sides by (A-B))

A = 2.A (substitute A = B, from the initial assumption)

1 = 2 (divide both sides by A)

q.e.d.





Divide both sides by (A-B)? Divide by zero doesnt work in maths




I am afraid that Mathematics could accomplish that ( divide by 0) but not on primary school math level and end result will not be never as suggested at very end.
But here is nice example what we could do within our degree in mathematics without the bending rules


Subsonic
Subsonic
WA
3413 posts
Subsonic Subsonic
WA, 3413 posts
2 Jan 2020 10:19am
I never understood the need to replace numbers with letters. The whole exercise (algebra) is moot/pointless and confusing, (to my mind).
Kamikuza
Kamikuza
QLD
6493 posts
Kamikuza Kamikuza
QLD, 6493 posts
2 Jan 2020 1:15pm
Subsonic said..
I never understood the need to replace numbers with letters. The whole exercise (algebra) is moot/pointless and confusing, (to my mind).


I'm sure you're just joking, but algebra "letters" are just place holders for numbers or values.

I'm sure you use it everyday...

s = d/t
Macroscien
Macroscien
QLD
6809 posts
Macroscien Macroscien
QLD, 6809 posts
2 Jan 2020 1:25pm

Kamikuza said..

I use this everyday
s = d/t

then you runs into difficulty when your speed comes around 300,000 km/s
that example illustrate difference when
-kid want to count apples on the table using your algebra to
-situation when you want to describe real world ( in physics)
Your formula may be useful at first but useless in second .
Macroscien
Macroscien
QLD
6809 posts
Macroscien Macroscien
QLD, 6809 posts
2 Jan 2020 3:45pm
Harrow said..
Let A = B,

-A.B = -B^2 (multiply both sides by minus B)

A^2 - A.B = A^2 - B^2 (add A-squared to both sides)

A.(A-B) = (A+B).(A-B) (factorise)

A = A + B (divide both sides by (A-B))

A = 2.A (substitute A = B, from the initial assumption)

1 = 2 (divide both sides by A)

q.e.d.


Here is why Harrow could be right anyway:
medium.com/starts-with-a-bang/the-strong-cp-problem-is-the-most-underrated-puzzle-in-all-of-physics-91f387ee5c94
Mr Milk
Mr Milk
NSW
3137 posts
Mr Milk Mr Milk
NSW, 3137 posts
2 Jan 2020 4:53pm
Macroscien said..

Poodle said..




Harrow said..
Let A = B,

-A.B = -B^2 (multiply both sides by minus B)

A^2 - A.B = A^2 - B^2 (add A-squared to both sides)

A.(A-B) = (A+B).(A-B) (factorise)

A = A + B (divide both sides by (A-B))

A = 2.A (substitute A = B, from the initial assumption)

1 = 2 (divide both sides by A)

q.e.d.






Divide both sides by (A-B)? Divide by zero doesnt work in maths





I am afraid that Mathematics could accomplish that ( divide by 0) but not on primary school math level and end result will not be never as suggested at very end.
But here is nice example what we could do within our degree in mathematics without the bending rules



I get 2030. 5 X 6 X 7 = 210
210 + 10 - 17 = 203
203 X 10 = 2030
GreenPat
GreenPat
QLD
4103 posts
GreenPat GreenPat
QLD, 4103 posts
2 Jan 2020 8:10pm
Subsonic said..
I never understood the need to replace numbers with letters. The whole exercise (algebra) is moot/pointless and confusing, (to my mind).


LOL. Confusing it may be, but pointless it is not. Without algebra it would be very hard to write computer programs, and without computer programs we wouldn't be here chatting in one now...
GreenPat
GreenPat
QLD
4103 posts
GreenPat GreenPat
QLD, 4103 posts
2 Jan 2020 8:14pm
Mr Milk said..

Macroscien said..


Poodle said..





Harrow said..
Let A = B,

-A.B = -B^2 (multiply both sides by minus B)

A^2 - A.B = A^2 - B^2 (add A-squared to both sides)

A.(A-B) = (A+B).(A-B) (factorise)

A = A + B (divide both sides by (A-B))

A = 2.A (substitute A = B, from the initial assumption)

1 = 2 (divide both sides by A)

q.e.d.







Divide both sides by (A-B)? Divide by zero doesnt work in maths






I am afraid that Mathematics could accomplish that ( divide by 0) but not on primary school math level and end result will not be never as suggested at very end.
But here is nice example what we could do within our degree in mathematics without the bending rules



I get 2030. 5 X 6 X 7 = 210
210 + 10 - 17 = 203
203 X 10 = 2030


it's 1x2, not 1+2. So it's 210 + 9 - 17 using your grouping, 202. x10 = 2020
psychojoe
psychojoe
WA
2241 posts
psychojoe psychojoe
WA, 2241 posts
2 Jan 2020 6:55pm
Mr Milk said..

Macroscien said..


Poodle said..





Harrow said..
Let A = B,

-A.B = -B^2 (multiply both sides by minus B)

A^2 - A.B = A^2 - B^2 (add A-squared to both sides)

A.(A-B) = (A+B).(A-B) (factorise)

A = A + B (divide both sides by (A-B))

A = 2.A (substitute A = B, from the initial assumption)

1 = 2 (divide both sides by A)

q.e.d.







Divide both sides by (A-B)? Divide by zero doesnt work in maths






I am afraid that Mathematics could accomplish that ( divide by 0) but not on primary school math level and end result will not be never as suggested at very end.
But here is nice example what we could do within our degree in mathematics without the bending rules



I get 2030. 5 X 6 X 7 = 210
210 + 10 - 17 = 203
203 X 10 = 2030


You forgot the 2
Mr Milk
Mr Milk
NSW
3137 posts
Mr Milk Mr Milk
NSW, 3137 posts
2 Jan 2020 10:56pm
Aha. I need glasses!
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