Let \[\alpha ,\beta \] be the roots of \[{{x}^{2}}+x+1=0.\] Then the equation whose roots are \[{{\alpha }^{229}}\] and \[{{\alpha }^{1004}}\] is

Let \[\alpha ,\beta \] be the roots of \[{{x}^{2}}+x+1=0.\] Then the e

1.	Let \[\alpha ,\beta \] be the roots of \[{{x}^{2}}+x+1=0.\] Then the equation whose roots are \[{{\alpha }^{229}}\] and \[{{\alpha }^{1004}}\] is
A.	\[{{x}^{2}}-x-1=0\]
B.	\[{{x}^{2}}-x+1=0\]
C.	\[{{x}^{2}}+x-1=0\]
D.	\[{{x}^{2}}+x+1=0\]
Answer» E.

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Let \[\alpha ,\beta \] be the roots of \[{{x}^{2}}+x+1=0.\] Then the equation whose roots are \[{{\alpha }^{229}}\] and \[{{\alpha }^{1004}}\] is

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