Let \[\alpha ,{{\alpha }^{2}}\]be the roots of \[{{x}^{2}}+x+1=0\], then the equation whose roots are \[{{\alpha }^{31}},{{\alpha }^{62}}\]is [AMU 1999]

Let \[\alpha ,{{\alpha }^{2}}\]be the roots of \[{{x}^{2}}+x+1=0\], th

1.	Let \[\alpha ,{{\alpha }^{2}}\]be the roots of \[{{x}^{2}}+x+1=0\], then the equation whose roots are \[{{\alpha }^{31}},{{\alpha }^{62}}\]is [AMU 1999]
A.	\[{{x}^{2}}-x+1=0\]
B.	\[{{x}^{2}}+x-1=0\]
C.	\[{{x}^{2}}+x+1=0\]
D.	\[{{x}^{60}}+{{x}^{30}}+1=0\]
Answer» D. \[{{x}^{60}}+{{x}^{30}}+1=0\]

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Let \[\alpha ,{{\alpha }^{2}}\]be the roots of \[{{x}^{2}}+x+1=0\], then the equation whose roots are \[{{\alpha }^{31}},{{\alpha }^{62}}\]is [AMU 1999]

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