Cevap:
[tex] \frac{x}{y} + \frac{y}{x} = \frac{ {x}^{2} }{yx } + \frac{ {y}^{2} }{xy} = \frac{2xy}{xy} \\ {x}^{2} + y^{2} = 2xy \\ {x}^{2} - 2xy + {y}^{2} = 0 \\ {(x - y)}^{2} = 0 \\ x - y = 0 \\ x = y \\ \frac{ {x}^{2016} + {x}^{2016} }{ {x}^{2015}.x } = \frac{2 {x}^{2016} }{ {x}^{2016} } = 2 [/tex]
