Difference between revisions of "Fallacious proof/2equals1"
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=== Explanation === | === Explanation === | ||
− | The trick in this argument is when we divide by <math>a^{2}-ab</math>. Since a=b, <math>a^2-ab</math> | + | The trick in this argument is when we divide by <math>a^{2}-ab</math>. Since <math>a=b</math>, <math>a^2-ab = 0</math>, and dividing by zero is illegal. |
Revision as of 15:48, 3 August 2006
2 = 1
Let .
Then we have
(since
)
(adding
to both sides)
(factoring out a 2 on the LHS)
(dividing by
)
Explanation
The trick in this argument is when we divide by . Since
,
, and dividing by zero is illegal.