1 = 0?
Logic
Level
2
What is wrong with this "proof" that 1 = 0? z = 1. 1 = 1 x 1. So, z x z = z z(z-1) = 0 z = 0. But... z = 1!!! So, 0 = 1?
Just because 1 x 1 = 1 doesn't mean z x z = z
1 does equal 0, and so does every other number.
z - 1 is 0, and you can't divide by 0.
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1 solution
Since z = 1, z - 1 is 0. after, z(z-1) = 0, I divided by z - 1 (0) on both sides. And you cannot divide by 0.