x^2-y^2=x-y+2018

解

x^{2} - y^{2} = x - y + 2018

(h, k) = (\frac{1}{2}, \frac{1}{2}), a = 2018, b = 2018

解答ステップ

x^{2} - y^{2} = x - y + 2018

x^{2} - y^{2} = x - y + 2018

を標準的な双曲線のequationで書き換える

\frac{( x - \frac{1}{2} ) ^{2}}{( 2018 ) ^{2}} - \frac{( y - \frac{1}{2} ) ^{2}}{( 2018 ) ^{2}} = 1

ゆえに双曲線の特性は:

(h, k) = (\frac{1}{2}, \frac{1}{2}), a = 2018, b = 2018