(36(x-7)^2-64(y-6)^2)/(2304)=1

解

\frac{36 ( x - 7 ) ^{2} - 64 ( y - 6 ) ^{2}}{2304} = 1

(h, k) = (7, 6), a = 8, b = 6

解答ステップ

\frac{36 ( x - 7 ) ^{2} - 64 ( y - 6 ) ^{2}}{2304} = 1

\frac{36 ( x - 7 ) ^{2} - 64 ( y - 6 ) ^{2}}{2304} = 1

を標準的な双曲線のequationで書き換える

\frac{( x - 7 ) ^{2}}{8 ^{2}} - \frac{( y - 6 ) ^{2}}{6 ^{2}} = 1

ゆえに双曲線の特性は:

(h, k) = (7, 6), a = 8, b = 6