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Riddle of the Day
2 Equals 1 Proof
What is wrong with the following proof?
2=1
a = b
a2 = ab
a2 - b2 = ab - b2
(a+b)(a-b) = b(a-b)
a + b = b
2b = b
2 = 1
Answer
Since a=b, a-b=0. Hence, the equation becomes 0=0 in step 5.