`text{Giải thích các bước giải:}`
`y/x+y` `+` `2y^2/x^2+y^2` `+` `4y^4/x^4+y^4` `+` `8y^8/x^8+y^8` `=` `2016`
`⇔` `y/x+y` `+` `2y^2/x^2+y^2` `+` `4y^4(x^4+y^4) `+` 8y^8/x^8-y^8` `=` `2016`
`⇔` `y/x+y` `+` `2y^2/x^2+y^2` `+` `4x^4/x^4-y^4` `=` `2016`
`⇔` `y/x+y` `+` `2y^2/x^2-y^2` `=` `2016`
`⇔` `y/x+y` `=` `2016`
`⇔` `x/y` `=` `2016/2017`