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Unformatted text preview: to your number game in case you need to make changes or help another student. Let’s say that x is that number. So we square it, and then subtract one. Divide by one less than the original number and subtract the original number and it should be 1. Here is the math behind it: x x2-x2 1--x2 1x 1-- -x2 1x 1 x Notice the fact that:--x2 1x 1 Can be simplified to: + x 1 So then + - = x 1 x 1 So this works for anything. Here is my game. Take any number. Square it and then subtract 25 from it. Divide the whole thing by 5 more than the original number. Now square the quantity and divide by 5 less than the original quantity. Then multiply by 5 less than the quantity and divide the result by 5 more than the original number and then subtract 5. You should end up with the original number each time....
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- Spring '09