(x^2)/(5^2)-(y^2)/(2^2)=1

解

\frac{x ^{2}}{5 ^{2}} - \frac{y ^{2}}{2 ^{2}} = 1

(h, k) = (0, 0), a = 5, b = 2

解答ステップ

\frac{x ^{2}}{5 ^{2}} - \frac{y ^{2}}{2 ^{2}} = 1

\frac{x ^{2}}{5 ^{2}} - \frac{y ^{2}}{2 ^{2}} = 1

を標準的な双曲線のequationで書き換える

\frac{( x - 0 ) ^{2}}{5 ^{2}} - \frac{( y - 0 ) ^{2}}{2 ^{2}} = 1

ゆえに双曲線の特性は:

(h, k) = (0, 0), a = 5, b = 2