x-2-x-5xy-6y-2-2y-2-0-

Question Number 155400 by TVTA last updated on 30/Sep/21

x^{2} + x + 5 x y + 6 y^{2} + 2 y - 2 = 0

Commented by MJS_new last updated on 30/Sep/21

hyperbola with center [\begin{matrix} 2 \\ - 1 \end{matrix}] and axes

a = 2 \sqrt{- 7 + 5 \sqrt{2}}

b = 2 \sqrt{7 + 5 \sqrt{2}}

rotated by \frac{3 π}{8} = 67.5 °

the transformed equation is

\frac{x^{2}}{- 28 + 20 \sqrt{2}} - \frac{y^{2}}{28 + 20 \sqrt{2}} = 1

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