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Specimen Cyprus Seniors Provincial/2nd grade/Problem 4

Revision as of 07:47, 12 November 2006 by Leonariso (talk | contribs) (problem 4)
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Problem

If $\rho_{1}, \rho_{2}$ are the roots of equation $x^2-x+1=0$ then:

a) Prove that $\rho_{1}^3=\rho_{2}^3 = -1$ and

b) Calculate the value of: $\rho_{1}^{2006} + \rho_{2}^{2006}$.


Solution

See also

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