令a=4x/(5x-2)
则(5x-2_)/4x=1/a
a+1/a=17/4
两边乘4a
4a²-17a+4=0
(4a-1)(a-4)=0
a=1/4,a=4
4x/(5x-2)=1/4
5x-2=16x
x=-2/11
4x/(5x-2)=4
5x-2=x
x=1/2
所以x=-2/11,x=1/2