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人気のある Geometry >

11^2-x^2+y^2=9^2

解

1 1^{2} - x^{2} + y^{2} = 9^{2}

解

(h, k) = (0, 0), a = 210, b = 210

解答ステップ

1 1^{2} - x^{2} + y^{2} = 9^{2}

1 1^{2} - x^{2} + y^{2} = 9^{2}

を標準的な双曲線のequationで書き換える

\frac{( x - 0 ) ^{2}}{( 2 10 ) ^{2}} - \frac{( y - 0 ) ^{2}}{( 2 10 ) ^{2}} = 1

ゆえに双曲線の特性は:

(h, k) = (0, 0), a = 210, b = 210

グラフ

人気の例

9(x-3)^2-4(y-1)^2=-36

9 (x - 3)^{2} - 4 (y - 1)^{2} = - 36

x^2-y^2-2x-2y-1=0

x^{2} - y^{2} - 2 x - 2 y - 1 = 0

solvefor x,h(x)^2=13x^2-6x+1

so l v e f or x, h (x)^{2} = 13 x^{2} - 6 x + 1

(8(x^2-1/4))/(9/2)-9y^2 9/2 =(9/2)/(9/2)

\frac{8 ( x ^{2} - \frac{1}{4} )}{\frac{9}{2}} - 9 y^{2} \frac{9}{2} = \frac{\frac{9}{2}}{\frac{9}{2}}

9 x^{2} - y^{2} = 144