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Help : Proof that 2 = 1

Let \(a\) and \(b\) are two numbers such that \(a = b = 2\).

Therefore \(a^2 = ab\) [multiplying \(a\) on both sides.]

\(a^2 - b^2 = ab - b^2\) [subtracting \(b^2\) on both sides.]

\((a + b)(a - b) = b(a-b)\)

\((a+b) = b\)

Now substituting the values of \(a\) and \(b\) , we get \(2+2 = 2\)

Therefore \(4 = 2\) ?

Note by Rama Devi
2 years, 2 months ago

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you cannot cancel (a-b) on both sides because (a-b) =0 and division by 0 is not defined!

Raven Herd - 2 years, 2 months ago

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good observation

Sai Ram - 2 years, 2 months ago

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You are only 13 and you are level 5 in all subjects .Cool! Do you sit whole day at brilliant or you attempt every question correctly?

Raven Herd - 2 years, 2 months ago

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You cannot cancel out (a-b). Think why?

Agnishom Chattopadhyay - 2 years, 2 months ago

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Because a - b is 0

Rama Devi - 2 years, 2 months ago

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