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Question Number 200357 by ajfour last updated on 17/Nov/23

Commented by ajfour last updated on 17/Nov/23

$$Findr,ifsquaresideisunity.$$

Commented by Frix last updated on 17/Nov/23

$$\mathrm{I}\mathrm{get}2\mathrm{solutions}\left(\mathrm{did}\mathrm{not}\mathrm{test}\mathrm{them}\right)$$$$r=\frac{3}{8}\vee r=\frac{6-3\sqrt{2}}{4}$$

Commented by ajfour last updated on 17/Nov/23

$$Iget8r^2-24r+9=0$$$$\Rightarrow r=\frac{3}{4}(2\pm \sqrt{2})$$$$butr=\frac{3}{4}(2-\sqrt{2})canonlybeselected.$$

Commented by Frix last updated on 17/Nov/23

$$\mathrm{I}\mathrm{tested}\mathrm{my}\mathrm{solutions}\Rightarrow r=\frac{3}{8}\mathrm{is}\mathrm{wrong}$$

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