question_answer

If \[y=(x+{{x}^{-1}})\] then \[{{x}^{4}}+{{x}^{3}}-4{{x}^{2}}+x+1=0\] can be reduced to which one of the following? Take \[x\ne 0\].

A)  \[{{y}^{2}}+y-2=0\]       

B)  \[{{y}^{2}}+y-4=0\]

C)  \[{{y}^{2}}+y-6=0\]       

D)  \[{{y}^{2}}+y+6=0\]