question_answer

Let \[\alpha \] and \[\beta \] be the roots of the equation\[{{x}^{2}}+x+1=0\,\], then the equation whose root are \[{{\alpha }^{19}},{{\beta }^{7}}\] is

A)  \[{{x}^{2}}-x-1=0\]

B)  \[{{x}^{2}}-x+1=0\]

C)  \[{{x}^{2}}+x-1=0\]

D)         \[{{x}^{2}}+x+1=0\]