Question 192207
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Let <i><b>x</b></i> represent the original number, then:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x^2]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x^2 - 1]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{x^2 - 1}{x - 1}] where *[tex \LARGE x \neq 1]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{x^2 - 1}{x - 1} - x]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \left(\frac{x^2 - 1}{x - 1}\right) - \left(\frac{x(x -1)}{x - 1}\right) = \frac{x^2-1 - x(x - 1)}{x-1} = \frac{x^2 - 1 - x^2 + x}{x-1}= \frac{x-1}{x-1} = 1]



John
*[tex \LARGE e^{i\pi} + 1 = 0]
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