Find the mistake in the problem!!!

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a is equal to b.

 

1 = 1

a = b

 

 

Adding a2 and b2

Since a2= b2

both sides of equation

 

a2+b2 = b2+b2

 

a2+b2 = 2b2

 

 

Subtracting 2 a2A

From both sides

 

 

a2+b2-2a2 = 2b2-2a2

 

 

Solving

Cutting (b2- a2 )on both sides

 

(b2- a2 )= 2(b2- a2)

 

(b2- a2 )= 2(b2- a2 )

 

1 = 2

 

a not equal to b

 

 

This is a contradiction to a = b

 

 

Replies (2)

if a =b then a-b =0 and you cannot cancel 0 on both sides because 0*1 = 0*2 = 0*3 = .. =0 that is the mistake

Tejaswiji... your answer is  correct.. but the explanation is as follows.

Answer to the problem:

In order to cancel the terms (b2- a2 ) on both sides, we have to divide (b2- a2 ) on RHS and LHS.

which means we have to divide 0 from RHS and LHS.

DIVISION BY ZERO IS NOWHERE POSSIBLE!!

THAT IS THE MISTAKE.

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