1=2!!

Algebra Level 2

let, a=b or,a^2=ab or,a^2 - b^2=ab - b^2 or,(a+b)(a-b)=b(a-b) or,a+b=b or,b+b=b or,2b=b 2=1 what's the wrong?

it's right 1=2 it's true Dividing both side by 0 Dividing both side by a+b

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4 solutions

Mudra Desai
Apr 1, 2014

a=b a^2=a.b a^2-b^2 =ab-b^2 (a-b)(a+b) = b(a-b)

Everything is right so far. Logically, the next step will be to divide both sides by a-b, as this is the common term. However, a=b. Therefore a-b =0. Since one cannot divide anything by 0, one cannot divide the expression by a-b.

a=b a^2=a.b a^2-b^2 =ab-b^2 (a-b)(a+b) = b(a-b)

Everything is right so far. Logically, the next step will be to divide both sides by a-b, as this is the common term. However, a=b. Therefore a-b =0. Since one cannot divide anything by 0, one cannot divide the expression by a-b.

Arghyanil Dey
Apr 22, 2014

As a=b,so we can't divide both side of the equation by (a-b).

Malay Pandey
Apr 1, 2014

Since a-b = 0 hence divided both sides by 0

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