Question 935205
x - 1/x  = square root of 6, then x squared + 1/x squared 


{{{x - (1/x)=sqrt(6)}}}


{{{x^2+(1/x^2)}}}

={{{x^2 -2+(1/x^2)+2}}}


{{{(x-1/x)^2+2}}}


{{{(sqrt(6))^2+2}}}

36+2=38