Is Two Equal To One?
Published: Nov 30, 1999
Riddle: a=b
a²=ab square both sides
2a²=a²+ab add a² to both sides
2a²-2ab=a²-ab subtract 2ab from both sides
2a(a-b)=a(a-b) factor
2a=a cancel out (a-b)
2=1 cancel out a
is two equal to one?
a²=ab square both sides
2a²=a²+ab add a² to both sides
2a²-2ab=a²-ab subtract 2ab from both sides
2a(a-b)=a(a-b) factor
2a=a cancel out (a-b)
2=1 cancel out a
is two equal to one?
Answer: the flaw with this is that a-b is equal to zero which means that one cannot "cancel out" (a-b)
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