已知a+b=1,a²+b²=2==>a²+2ab+b²=1 ==>2+2ab=1==>ab=-1/2a^4+b^4=(a²+b²)²-2a²b²=4-2*(1/4)=4-1/2=7/2a^5+b^5=(a+b)(a^4-a^3*b+a²b²-a*b^3+b^4)=a^4-a^3*b+a...