-81x^2+486x+64y^2+128y+4519=0

解

- 81 x^{2} + 486 x + 64 y^{2} + 128 y + 4519 = 0

(h, k) = (3, - 1), a = 8, b = 9

解答ステップ

- 81 x^{2} + 486 x + 64 y^{2} + 128 y + 4519 = 0

- 81 x^{2} + 486 x + 64 y^{2} + 128 y + 4519 = 0

を標準的な双曲線のequationで書き換える

\frac{( x - 3 ) ^{2}}{8 ^{2}} - \frac{( y - ( - 1 ) ) ^{2}}{9 ^{2}} = 1

ゆえに双曲線の特性は:

(h, k) = (3, - 1), a = 8, b = 9