100x^2+112952x-100y^2-106y=48838

解

100 x^{2} + 112952 x - 100 y^{2} - 106 y = 48838

(h, k) = (- \frac{14119}{25}, - \frac{53}{100}), a = \frac{3194419567}{100}, b = \frac{3194419567}{100}

解答ステップ

100 x^{2} + 112952 x - 100 y^{2} - 106 y = 48838

100 x^{2} + 112952 x - 100 y^{2} - 106 y = 48838

を標準的な双曲線のequationで書き換える

\frac{( x - ( - \frac{14119}{25} ) ) ^{2}}{( \frac{3194419567}{100} ) ^{2}} - \frac{( y - ( - \frac{53}{100} ) ) ^{2}}{( \frac{3194419567}{100} ) ^{2}} = 1

ゆえに双曲線の特性は:

(h, k) = (- \frac{14119}{25}, - \frac{53}{100}), a = \frac{3194419567}{100}, b = \frac{3194419567}{100}