It official: 1=2.
And here is the proof...
(1) X = Y | Given |
(2) X^{2} = XY | Multiply both sides by X |
(3) X^{2} - Y^{2} = XY - Y^{2} | Subtract Y^{2} from both sides |
(4) (X+Y)(X-Y) = Y(X-Y) | Factor both sides |
(5) (X+Y) = Y | Cancel out common factors |
(6) Y+Y = Y | Substitute in from line (1) |
(7) 2Y = Y | Collect the Y's |
(8) 2 = 1 | Divide both sides by Y |
Can you spot the error that has led to this false conclusion?
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