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Find-equation-of-the-hyperbolas-that-intersect-3x-2-4y-2-5xy-and-3y-2-4x-2-2x-5-




Question Number 11394 by agni5 last updated on 23/Mar/17
Find equation of the hyperbolas that   intersect 3x^2 −4y^2 =5xy and   3y^2 −4x^2 =2x+5.
$$\mathrm{Find}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{the}\:\mathrm{hyperbolas}\:\mathrm{that}\: \\ $$$$\mathrm{intersect}\:\mathrm{3x}^{\mathrm{2}} −\mathrm{4y}^{\mathrm{2}} =\mathrm{5xy}\:\mathrm{and}\: \\ $$$$\mathrm{3y}^{\mathrm{2}} −\mathrm{4x}^{\mathrm{2}} =\mathrm{2x}+\mathrm{5}. \\ $$

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