Question

How can we prove ,1=2?

Answer 1

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Answer 2

◆ ILLEGAL MATHEMATICS ◆


`we \: know \: that \:, \\ \\ {x}^(2) = x + x + x + x + x + ...(x \: times) \\ \\ now \: , \: take \: derivative \: of \: both \: sides \: , \\ \\`

We get ,

2x = 1 + 1 + 1 + 1 + ....( x times )

Therefore ,

2x = x ( for all values of x )

Putting x = 1

We get ,

2 = 1 or 1 = 2

Hence , proved.

Although ,

The way we took the derivative wasn't correct , as it's not just a simple linear Equation ,

x² = x + x + x + x + ....(x times) = x(x)

Correctly taking derivative ,

We get , 2x = x(1) + x(1)

Or 2x = 2x only ,
which is truly correct :)