mathematicians look here - if possible correct me please with detailed explanations

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1+1=1
Proof
Let a= 1…………….(i)
Multiply by a in both sides
a×a = 1×a…………..(ii)
From eqn (ii) reduce 1 in both sides
a²-1 = a-1………………(iii)
But a²-1 = (a+1)(a-1) -This is factorization of quadratic equation
There fore
(a +1)(a-1) = (a-1)…….(iv)
Divide by (a-1) both sides
(a+1)(a-1) = (a-1)
(a-1) (a-1)
(a+1) = 1…………………..(v)
But from equation number (i) we let a=1.Take it and substitute into equation number (v)
Hence
1 +1 = 1

MAHENDEKA said:

p { margin-bottom: 0.08in; }

1+1=1
Proof
Let a= 1…………….(i)
Multiply by a in both sides
a×a = 1×a…………..(ii)
From eqn (ii) reduce 1 in both sides
a²-1 = a-1………………(iii)
But a²-1 = (a+1)(a-1) -This is factorization of quadratic equation
There fore
(a +1)(a-1) = (a-1)…….(iv)
Divide by (a-1) both sides
(a+1)(a-1) = (a-1)
(a-1) (a-1)
(a+1) = 1…………………..(v)
But from equation number (i) we let a=1.Take it and substitute into equation number (v)
Hence
1 +1 = 1

Click to expand...

Peleka huu uzi kwenye education

MAHENDEKA said:

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1+1=1
Proof
Let a= 1…………….(i)

Click to expand...

I dont see an 'a' in the formula you are trying to prove. Labda ungesema, let 1= a (In which case you would be asuming that we dont know what '1' is but we know what an 'a' is!).

Aaaaaargh! maluweluwe.
But MAHENDEKA nimeipenda hiyo trick yako na formula

Hanna Kitu hapo! Hesabu za kienyeji.

MAHENDEKA said:

p { margin-bottom: 0.08in; }

1+1=1
Proof
Let a= 1…………….(i)
Multiply by a in both sides
a×a = 1×a…………..(ii)
From eqn (ii) reduce 1 in both sides
a²-1 = a-1………………(iii)
But a²-1 = (a+1)(a-1) -This is factorization of quadratic equation
There fore
(a +1)(a-1) = (a-1)…….(iv)
Divide by (a-1) both sides
(a+1)(a-1) = (a-1)
(a-1) (a-1)
(a+1) = 1…………………..(v)
But from equation number (i) we let a=1.Take it and substitute into equation number (v)
Hence
1 +1 = 1

Click to expand...

sijui ni hiki kileo....mbona nahisi kizunguzungu

SMU said:

I dont see an 'a' in the formula you are trying to prove. Labda ungesema, let 1= a (In which case you would be asuming that we dont know what '1' is but we know what an 'a' is!).

Click to expand...

mzee wa kutegua mabomu umestukia tunapelekwa chaka eeeh
kula senki hapo chini
The Following User Says Thank You to SMU For This Useful Post:

You let a=1,so wen u divide by (a-1),means dat you divide by zero both sides,mathematicaly dis is incorrect and the answer is undefined and not 1 as u show us!

hili ndo tatizo la kudhania hesabu inaendeshwa kwa assumptions....

If you are trying to prove 1+1=1 why are you assuming 1 = a? kwani ukifanya ivo tayari equation yako inakuwa a+a=a so what the hell!?

MAHENDEKA said:

p { margin-bottom: 0.08in; }

1+1=1
Proof
Let a= 1…………….(i)
Multiply by a in both sides
a×a = 1×a…………..(ii)
From eqn (ii) reduce 1 in both sides
a²-1 = a-1………………(iii)
But a²-1 = (a+1)(a-1) -This is factorization of quadratic equation
There fore
(a +1)(a-1) = (a-1)…….(iv)
Divide by (a-1) both sides
(a+1)(a-1) = (a-1)
(a-1) (a-1)
(a+1) = 1…………………..(v)
But from equation number (i) we let a=1.Take it and substitute into equation number (v)
Hence
1 +1 = 1

Click to expand...

ulichofanya wala sio hesabu, ni kubadilisha 1kuwa 'a' na baadae kuibadilisha 'a' kuwa 1

MAHENDEKA said:

p { margin-bottom: 0.08in; }

1+1=1
Proof
Let a= 1…………….(i)
Multiply by a in both sides
a×a = 1×a…………..(ii)
From eqn (ii) reduce 1 in both sides
a²-1 = a-1………………(iii)
But a²-1 = (a+1)(a-1) -This is factorization of quadratic equation
There fore
(a +1)(a-1) = (a-1)…….(iv)
Divide by (a-1) both sides
(a+1)(a-1) = (a-1)
(a-1) (a-1)
(a+1) = 1…………………..(v)
But from equation number (i) we let a=1.Take it and substitute into equation number (v)
Hence
1 +1 = 1

Click to expand...

BIG NO!!!

The answer Must be true for all numbers

Why?

If I let a=2, sipati 1+1=1

Kwa hiyo kwa maoni yangu hesabu yako ni sawa na maji+maji = ?

cpt said:

You let a=1,so wen u divide by (a-1),means dat you divide by zero both sides,mathematicaly dis is incorrect and the answer is undefined and not 1 as u show us!

Click to expand...

Fantastic

MAHENDEKA said:

p { margin-bottom: 0.08in; }

1+1=1
Proof
Let a= 1…………….(i)
Multiply by a in both sides
a×a = 1×a…………..(ii)
From eqn (ii) reduce 1 in both sides
a²-1 = a-1………………(iii)
But a²-1 = (a+1)(a-1) -This is factorization of quadratic equation
There fore
(a +1)(a-1) = (a-1)…….(iv)
Divide by (a-1) both sides
(a+1)(a-1) = (a-1)
(a-1) (a-1)
(a+1) = 1…………………..(v)
But from equation number (i) we let a=1.Take it and substitute into equation number (v)
Hence
1 +1 = 1

Click to expand...

Big up Mahendeka, good thinking!
But there are several problems with ur so called proof.
1. Basically what you are doing is NOT proving but verifying that 1+1=1. There are no any analytical tools (theorems, lemmas or conjectures) that support what you are doing!

2. A proof as one of the readers put it must be true for all values ( and not necessarily numbers!) not just for some values. Your arguments are untrue when a<0.

3. The statement let a=1, is equivalent to writing a-1=0, so division by itself meand you are dividing by 0 which is indeterminate form, unless you would have put for a not equal to 1, but which contradicts your assunption that a=1!

However this is good thinking, and that is what maths needs!

mzee asumption ziko kwenye physics

MAHENDEKA said:

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1+1=1
Proof
Let a= 1&#8230;&#8230;&#8230;&#8230;&#8230;.(i)
Multiply by a in both sides
a×a = 1×a&#8230;&#8230;&#8230;&#8230;..(ii)
From eqn (ii) reduce 1 in both sides
a²-1 = a-1&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;(iii)
But a²-1 = (a+1)(a-1) -This is factorization of quadratic equation
There fore
(a +1)(a-1) = (a-1)&#8230;&#8230;.(iv)
Divide by (a-1) both sides
(a+1)(a-1) = (a-1)
(a-1) (a-1)
(a+1) = 1&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;..(v)
But from equation number (i) we let a=1.Take it and substitute into equation number (v)
Hence
1 +1 = 1

Click to expand...

Huu utoto awapelekee darasa la saba, very poor reasoning. Kwani wewe hujui kuwa 1x0= 2x0=3x0=4x0......... etc?

....the way i see the problem is the Problem itself. Mathematics is the Study of Numbers only, not letters

Mmh.. Ivi unatakiwa u-prove definition au theory?! Au hiyo ni Boolean..

lol, very wrong idea...you were you saying 1+1=1?, why did you assume that a= 1? why you didnt assume that 1=a?

MAHENDEKA said:

p { margin-bottom: 0.08in; }

1+1=1
Proof
Let a= 1&#8230;&#8230;&#8230;&#8230;&#8230;.(i)
Multiply by a in both sides
a×a = 1×a&#8230;&#8230;&#8230;&#8230;..(ii)
From eqn (ii) reduce 1 in both sides
a²-1 = a-1&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;(iii)
But a²-1 = (a+1)(a-1) -This is factorization of quadratic equation
There fore
(a +1)(a-1) = (a-1)&#8230;&#8230;.(iv)
Divide by (a-1) both sides
(a+1)(a-1) = (a-1)
(a-1) (a-1)
(a+1) = 1&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;..(v)
But from equation number (i) we let a=1.Take it and substitute into equation number (v)
Hence
1 +1 = 1

Click to expand...

Mtihani mwema kaka, Kwa mfumo huu huwezi kwepa F ya Hisabati. Tutaonana Kantalamba HKL

Kazi kweli kweli