25x^2+246x-25y^2-13y=233

解

25 x^{2} + 246 x - 25 y^{2} - 13 y = 233

(h, k) = (- \frac{123}{25}, - \frac{13}{50}), a = \frac{83647}{50}, b = \frac{83647}{50}

解答ステップ

25 x^{2} + 246 x - 25 y^{2} - 13 y = 233

25 x^{2} + 246 x - 25 y^{2} - 13 y = 233

を標準的な双曲線のequationで書き換える

\frac{( x - ( - \frac{123}{25} ) ) ^{2}}{( \frac{83647}{50} ) ^{2}} - \frac{( y - ( - \frac{13}{50} ) ) ^{2}}{( \frac{83647}{50} ) ^{2}} = 1

ゆえに双曲線の特性は:

(h, k) = (- \frac{123}{25}, - \frac{13}{50}), a = \frac{83647}{50}, b = \frac{83647}{50}