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OpenStudy (anonymous):
more simple:
1º: a=b
2º: ab=b^2 (multiply bouth sides by b)
3º: ab-a^2=b^2-a^2 (rest a^2 from bouth sides)
4º: a(b-a)=(b-a)(b+a)
5º: a=b+a
6º: a= a+a (since a=b)
7º: a=2a or 1=2
the falacy is in step 4º to 5º, because (b-a)=0. Remmember a=b. So we actualy devided by 0, which is not alowed
OpenStudy (anonymous):
it is, if a\(\neq =0\)
OpenStudy (anonymous):
what is your concern?
OpenStudy (anonymous):
i am curious, :)
OpenStudy (anonymous):
@Loser66 ?
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OpenStudy (anonymous):
a=2a
a/a=2a/a
1=2
OpenStudy (anonymous):
the problem is already with a=2a. But we got here because of step 4,5
OpenStudy (anonymous):
it is imposible to happen that a=2a for \(a \neq 0\)