a, b是方程x²-x-1=0的两个实数根,由韦达定理,可得：a+b=1ab=-1把x=a代入x²-x-1=0得：a²-a-1=0a²-a=1把x=b代入x²-x-1=0得：b²-b-1=0b²-1=b a²+a(b²-2)=a²+ab²...