x^2-3x+1=0x-3+1/x=0x+1/x=3(x+1/x)^2=9x^2+1/x^2+2=9x^2+1/x^2=7(x^2+1/x^2)=49x^4+1/x^4+2=49x^4+1/x^4=47
