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Question Number 153082 by liberty last updated on 04/Sep/21

Answered by Rasheed.Sindhi last updated on 04/Sep/21

$$\frac{L}{W}=\frac{W}{L-W}\Rightarrow L^2-LW=W^2$$$$\Rightarrow {\left(\frac{L}{W}\right)}^2-\frac{L}{W}-1=0$$$$\frac{L}{W}=\frac{1\pm \sqrt{1-4(-1)}}{2}=\frac{1\pm \sqrt{5}}{2}$$$$Negativevaluerejected$$$$\frac{L}{W}=\frac{1+\sqrt{5}}{2}$$$$$$

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