已知啊a,b满足a*a+3a-1=0,b*b-3b-1=0,则1/a*a+3b=
问题描述:
已知啊a,b满足a*a+3a-1=0,b*b-3b-1=0,则1/a*a+3b=
答
a²+3a-1=0两边除a²得1+3/a-1/a²=01/a²-3/a-1=0又b²-3b-1=0所以1/a和b是方程x²-3x-1=0的根所以1/a+b=31/a²-3/a-1=0所以1/a²=3/a+11/a²+3b=3/a+3b+1=3(1/a+b)+1=3*3+1=1...