Difference between revisions of "Proof that 2=1"
Shurong.ge (talk | contribs) (→Error) |
Shurong.ge (talk | contribs) (→Error) |
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==Error== | ==Error== | ||
− | + | Usually, if a proof proves a statement that is clearly false, the proof has probably divided by zero in some way. | |
− | + | In this case, the quantity of <math>a-b</math> is <math>0</math> as <math>a = b</math>, since one cannot divide by zero, the proof is incorrect from that point on. |
Revision as of 23:58, 2 February 2020
Proof
1) . Given.
2) . Multiply both sides by a.
3) . Subtract from both sides.
4) . Factor both sides.
5) . Divide both sides by
6) . Substitute for .
7) . Addition.
8) . Divide both sides by .
Error
Usually, if a proof proves a statement that is clearly false, the proof has probably divided by zero in some way.
In this case, the quantity of is as , since one cannot divide by zero, the proof is incorrect from that point on.