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Consider the following explanation for why 1=2 :
| 1. Start out | Let y = x | |
| 2. Multiply through by x | xy = x2 | |
| 3. Subtract y2 from each side | xy - y2 = x2 - y2 | |
| 4. Factor each side | y(x-y) = (x+y)(x-y) | |
| 5. Divide both sides by (x-y) | y = x+y | |
| 6. Divide both sides by y | y/y = x/y + y/y | |
| 7. And so... | 1 = x/y + 1 | |
| 8. Since x=y, x/y = 1 | 1 = 1 + 1 | |
| 8. And so... | 1 = 2 |
How is this possible?
There is a problem with one of the mathematical steps.
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