Difference between revisions of "Proof that 2=1"
Shurong.ge (talk | contribs) |
Shurong.ge (talk | contribs) (→Error) |
||
Line 19: | Line 19: | ||
==Error== | ==Error== | ||
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. | 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. | ||
+ | |||
+ | Usually, if a proof proves a statement that is clearly false, the proof has probably divided by zero in some way. |
Revision as of 23:57, 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
The quantity of is as , since one cannot divide by zero, the proof is incorrect from that point on.
Usually, if a proof proves a statement that is clearly false, the proof has probably divided by zero in some way.