[질문] x제곱-x+1=0일때x제곱-x제곱분의일어떻게풀어요??

양변을x로나누면x+1/x=1(x-1/x)^2=(x+1/x)^2-4=1-4=-3따라서x-1/x=-루트3i또는+루트3i따라서답은x^2-1/x^2=(x+1/x)(x-1/x)=-루트3i또는+루트3i