y^{(2)}-9x^2+8x-8y-2=0

解

y^{(2)} - 9 x^{2} + 8 x - 8 y - 2 = 0

(h, k) = (\frac{4}{9}, 4), a = \frac{146}{3}, b = \frac{146}{9}

解答ステップ

y^{2} - 9 x^{2} + 8 x - 8 y - 2 = 0

y^{2} - 9 x^{2} + 8 x - 8 y - 2 = 0

を標準的な双曲線のequationで書き換える

\frac{( y - 4 ) ^{2}}{( \frac{146}{3} ) ^{2}} - \frac{( x - \frac{4}{9} ) ^{2}}{( \frac{146}{9} ) ^{2}} = 1

ゆえに双曲線の特性は:

(h, k) = (\frac{4}{9}, 4), a = \frac{146}{3}, b = \frac{146}{9}