将a^2-3a+1=0两边同除以a^2,整理得：a+1/a＝3将a+1/a＝3两边平方,整理后得：a^2+1/a^2=7设x＝a-1/a,两边平方,整理后得：a^2+1/a^2=x^2+2比较a^2+1/a^2=7知,x^2=5,所以,x＝根号5,即a-1/a＝根号5所以,(a^2+1/a^2)×(a-...