Hey guys? look what I discovered!
"x+x = x*x" is a possible formula (with x=0,1 or 2) but when I try to simplify this to x I get:
x+x = x*x <=> (x+x-x)/x = 0 <=> x/x = 0 <=> 1 = 0 Whoa! I didn't know 1 was equal to 0! Or did I just do something wrong? =D |
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i suggest you to pay attention in math classes :p
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Your first mistake there is in going from the first to the second line.
It should be ((x-x)/x)-x = 0 Which, you may notice, gets you absolutely nowhere towards proving impossible results. |
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As for the original equation: Havell is right, you messed up the second line by saying (x+x-x)/x = 0 If x+x = x*x, then x+x-x = x^2-x x = x^2-x 0 = x^2-2x x^2-2x = 0 x(x-2) = 0 which is possible when and only when x = 0 OR x-2 = 0. The answer is x = 0 OR x = 2 x = 1 is not a solution. 1+1 = 2 1*1 = 1 1+1 /= 1*1 |
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Know the basics: http://en.wikipedia.org/wiki/Division_by_zero Hmmmm, maybe something simplier will be understandable: Quote:
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Well, I did say x unequaled zero...
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(x-x)/x-x = 0 | x /= 0 0/x-x=0 0-x = 0 x = 0, which contradicts the statement that x /= 0 So, (x-x)/x-x = 0 has no solution. Your equation, however, is right only if x /= 0. |
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