Question Number 210565 by maths_plus last updated on 12/Aug/24
Answered by mr W last updated on 13/Aug/24
Commented by mr W last updated on 13/Aug/24
$$\frac{{x}}{{x}+\mathrm{2}{y}}=\frac{{y}}{\:\sqrt{\mathrm{5}}{y}} \\ $$$$\left(\sqrt{\mathrm{5}}−\mathrm{1}\right){x}=\mathrm{2}{y} \\ $$$$\Rightarrow\frac{{x}}{{y}}=\frac{\mathrm{2}}{\:\sqrt{\mathrm{5}}−\mathrm{1}}=\frac{\sqrt{\mathrm{5}}+\mathrm{1}}{\mathrm{2}}=\varphi\:\checkmark \\ $$
Commented by maths_plus last updated on 13/Aug/24
$$\mathrm{thank}\:\mathrm{u},\:\mathrm{master}\:\mathrm{w} \\ $$