2/(x-y)+3/(x+y)=2

解

\frac{2}{x - y} + \frac{3}{x + y} = 2

(h, k) = (\frac{5}{4}, \frac{1}{4}), a = \frac{3}{2}, b = \frac{3}{2}

解答ステップ

\frac{2}{x - y} + \frac{3}{x + y} = 2

\frac{2}{x - y} + \frac{3}{x + y} = 2

を標準的な双曲線のequationで書き換える

\frac{( x - \frac{5}{4} ) ^{2}}{( \frac{3}{2} ) ^{2}} - \frac{( y - \frac{1}{4} ) ^{2}}{( \frac{3}{2} ) ^{2}} = 1

ゆえに双曲線の特性は:

(h, k) = (\frac{5}{4}, \frac{1}{4}), a = \frac{3}{2}, b = \frac{3}{2}