3 years, 5 months ago
I'm sorry to tell you this, but you made a mistake in your calculations: As I answered in a question which was made in Brilliant, there are reasons that lead to 0/0 being undetermined. The problem in the 4th step is that when you went from [(10-10)(10+10)]/10(10-10) to 20/10, you divided the numerator and the denominator by 0. Here is what you did: [(10-10)(10+10)]/10(10-10) = [(10-10)(10+10)/(10-10)]/[10(10-10)/(10-10)], which can be simplified to [(10+10)0/0]/(100/0). Given the fact 0/0 is undefined, you can't replace it with 1, nor any other number. Basically, you can't undo a multiplication with zero by dividing by zero, nor undo a division by zero by multiplying by zero, as both situations result in something similar to a*0/0, in which 0/0 is undefined and can't be replaced by any number, Other implications of 0/0 being undefined are that anything being divided or multiplied by 0/0 is undefined, and that you can't divide anything by an expression which is or can be equal to zero, as the result is undefined in case said expression turns out to be zero. This is why we can't simplify x/x into 1, for example. Here's the reasons why 0/0 is undefined, written by me: https://brilliant.org/discussions/thread/why-00-is-not-define/
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Yep!You got it.I already knew this mistake.I like fallacies.