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Yea lol I have a problem of always using the first method that comes to mind. This has been a problem in my maths tests where I end up with many pages of working out, while others do it in like half :mad1:.

^^^ HAHA Guess I was too much in a rush to use a simple method like yours. :haha:

Let the roots of the equation x^{3} + ax^{2} + 0x + b = 0 be: \alpha, \frac{1}{\alpha }, \beta. Then \alpha\frac{1}{\alpha } (1) + \alpha\beta + \beta\frac{1}{\alpha } = \frac{c}{a} = 0 Also \alpha\frac{1}{\alpha }\beta = \beta = - b And \alpha + \frac{1}{\alpha } + \beta = - a...