16.99y^2=32+15.93x^2

解答

16.99 y^{2} = 32 + 15.93 x^{2}

(h, k) = (0, 0), a = 1.37239 \dots, b = 1.41731 \dots

求解步骤

16.99 y^{2} = 32 + 15.93 x^{2}

将

16.99 y^{2} = 32 + 15.93 x^{2}

改写为标准双曲线方程形式

\frac{( y - 0 ) ^{2}}{1.37239 \dots ^{2}} - \frac{( x - 0 ) ^{2}}{1.41731 \dots ^{2}} = 1

因此双曲线的性质为:

(h, k) = (0, 0), a = 1.37239 \dots, b = 1.41731 \dots

25 x^{2} - 200 x - 9 y^{2} + 36 y = 139

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- 4 x^{2} + 56 x + y^{2} - 188 = 0

(\frac{y - 1}{4})^{2} - (\frac{x - 3}{9})^{2} = 1

4 x^{2} - 9 y^{2} + 144 = 0