(40)/(x+y)+2/(x-y)=5

解

\frac{40}{x + y} + \frac{2}{x - y} = 5

(h, k) = (\frac{21}{5}, \frac{19}{5}), a = \frac{4}{5}, b = \frac{4}{5}

解答ステップ

\frac{40}{x + y} + \frac{2}{x - y} = 5

\frac{40}{x + y} + \frac{2}{x - y} = 5

を標準的な双曲線のequationで書き換える

\frac{( x - \frac{21}{5} ) ^{2}}{( \frac{4}{5} ) ^{2}} - \frac{( y - \frac{19}{5} ) ^{2}}{( \frac{4}{5} ) ^{2}} = 1

ゆえに双曲線の特性は:

(h, k) = (\frac{21}{5}, \frac{19}{5}), a = \frac{4}{5}, b = \frac{4}{5}