y^2-8x^2-2x-y=0

解

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

(h, k) = (- \frac{1}{8}, \frac{1}{2}), a = \frac{1}{2 2}, b = \frac{1}{8}

解答ステップ

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

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

を標準的な双曲線のequationで書き換える

\frac{( y - \frac{1}{2} ) ^{2}}{( \frac{1}{2 2} ) ^{2}} - \frac{( x - ( - \frac{1}{8} ) ) ^{2}}{( \frac{1}{8} ) ^{2}} = 1

ゆえに双曲線の特性は:

(h, k) = (- \frac{1}{8}, \frac{1}{2}), a = \frac{1}{2 2}, b = \frac{1}{8}