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Question Number 88436 by Rio Michael last updated on 10/Apr/20

$$\mathrm{show}\mathrm{that}(\mathrm{for}e>1)\mathrm{the}\mathrm{equation}\mathrm{of}\mathrm{a}\mathrm{hyperbola}\mathrm{with}$$$$\mathrm{focus}(\pm ae,0)\mathrm{and}\mathrm{directrix}x=\frac{a}{e}\mathrm{is}\frac{x^2}{a^2}-\frac{y^2}{b^2}$$$$\mathrm{hence}\mathrm{find}\mathrm{an}\mathrm{equation}\mathrm{for}\mathrm{the}\mathrm{eccencitrity}\mathrm{of}$$$$\mathrm{the}\mathrm{hyperbola}$$

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