x²-x-1=0y²-y-1=0所以x和y是方程a²-a-1=0的根x+y=1,xy=-1(x+y)²=1²x²+y²+2xy=1x²+y²=1-2xy=3x³+y³=(x+y)(x²-xy+y²)=1×(3+1)=4x的5次方+y的5次方...