初二数学x²-5x-1=0 求x²+1/x²

问题描述:

初二数学x²-5x-1=0 求x²+1/x²

x²-5x-1=0
除以x得x-5-1/x=0
x-1/x=5
x²+1/x²
=(x-1/x)²+2
=5²+2
=27