perplexus.info :: Just Math : Closer to your roots

Closer to your roots (Posted on 2019-03-28)

Consider the polynomial f(x) = x⁷ - 4x³ + x + 1. All the zeroes of the above polynomial are plotted in the complex plane i.e., the argand plane. How many are within a unit distance from the origin?

No Solution Yet Submitted by Danish Ahmed Khan

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from Wolfram Alpha

Comment 1 of 1

Among the zeroes of the function Wolfram Alpha lists the following three that are within one unit of the origin:

x ~= 0.792062

x ~= -0.377268 - 0.425477 i

x ~= -0.377268 + 0.425477 i

Posted by Charlie on 2019-03-28 17:15:38

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