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Theory of Equation (Descarte's Rule of Sign)

Most of the people I see gets confused about this rule. This rule actually cannot determine the number of roots. Specifically, this rule determines the NUMBER OF MAXIMUM real positive or negative roots by checking the number of change of signs in f(x) and f(-x). The word MAXIMUM should be given emphasis.

For the people who don't know this rule: Check this link http://en.wikipedia.org/wiki/Descartes'ruleof_signs

Note by Saswata Dasgupta
2 years ago

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Can you contribute to the wiki on Descartes Rule of Sign here on Brilliant ?

Thanks :) Azhaghu Roopesh M · 2 years ago

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@Azhaghu Roopesh M Sure, but can you tell me how can I contribute? Saswata Dasgupta · 2 years ago

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@Saswata Dasgupta It's simple really !

Just got to the link that I have provided, click on "edit this page" and add the content that you think is appropriate :) Azhaghu Roopesh M · 2 years ago

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I think this rule also tells us about the complex roots. Trishit Chandra · 2 years ago

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@Trishit Chandra Obviously you can get the MAXIMUM number of complex roots by taking out the number of MAXIMUM real roots from the total roots Saswata Dasgupta · 2 years ago

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@Saswata Dasgupta Yes I've checked the wolfram. It also says this. Trishit Chandra · 2 years ago

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