level 1
近似解可以直接找
FindRoot[BesselJ[0, x]/BesselJ[2, x] == 0.64`, {x, 1}]
{x -> 1.99733}
也可以利用级数展开
Series[BesselJ[0, x]/BesselJ[2, x], {x, 0, 2}]
8/x^2 - 4/3 - x^2/144
NSolve[8/x^2 - 4/3 - x^2/144 == 0.64`, x]
{{x -> 0. - 16.9752 I}, {x -> 0. + 16.9752 I}, {x -> -1.99945}, {x -> 1.99945}}
但实际上解有很多(下图蓝色曲线),你应该根据实际情况确定需要的解

