2(x²+1/x²）-3（x+1/x）-1=0
问题描述：
2(x²+1/x²）-3（x+1/x）-1=0
答
2(x²+1/x²)-3（x+1/x）-1=0设t=x+1/xx²+1/x²=(x+1/x)²-2=t²-22(t²-2)-3t-1=02t²-3t-5=0(2t-5)(t+1)=0t1=5/2 t2=-1x+1/x=5/22x²+2=5x2x²-5x+2=0(2x-1)(x-2)=0x1=1...