Question Number 205117 by BaliramKumar last updated on 09/Mar/24
Answered by Rasheed.Sindhi last updated on 09/Mar/24
$$\frac{{x}}{{y}}+\frac{{y}}{{x}}=\mathrm{2} \\ $$$$\Rightarrow{x}^{\mathrm{2}} +{y}^{\mathrm{2}} =\mathrm{2}{xy} \\ $$$$\Rightarrow{x}^{\mathrm{2}} −\mathrm{2}{xy}+{y}^{\mathrm{2}} =\mathrm{0} \\ $$$$\Rightarrow\left({x}−{y}\right)^{\mathrm{2}} =\mathrm{0} \\ $$$$\Rightarrow{x}−{y}=\mathrm{0} \\ $$$$\Rightarrow{x}={y} \\ $$$$\nRightarrow\:{x}\neq{y} \\ $$$$\left({a}\right)\:{Zero} \\ $$
Commented by BaliramKumar last updated on 09/Mar/24
$$\mathrm{thanks} \\ $$