question_answer

If a, \[\alpha \,\,,\beta \,\,,\gamma \,\,,\delta \] are the roots of\[{{x}^{4}}+{{x}^{2}}+1=0,\], then the equation whose roots are\[{{\alpha }^{2}}\,\,,{{\beta }^{2}}\,\,,{{\gamma }^{2}}\,\,,{{\delta }^{2}}\] is

A)  \[{{({{x}^{2}}-x+1)}^{2}}=0\]

B)  \[{{({{x}^{2}}+x+1)}^{2}}=0\]

C)   \[{{x}^{4}}-{{x}^{2}}+1=0\]  

D)   \[{{x}^{2}}-x-1=0\]