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Beliebt Geometry >

12y^2-4x^2+24x-24y-51=0

Lösung

12 y^{2} - 4 x^{2} + 24 x - 24 y - 51 = 0

Lösung

(h, k) = (3, 1), a = \frac{3}{2}, b = \frac{3 3}{2}

Schritte zur Lösung

12 y^{2} - 4 x^{2} + 24 x - 24 y - 51 = 0

Rewrite

12 y^{2} - 4 x^{2} + 24 x - 24 y - 51 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (3, 1), a = \frac{3}{2}, b = \frac{3 3}{2}

Graph

Beliebte Beispiele

4y^2-9x^2-36x+8y=0

4 y^{2} - 9 x^{2} - 36 x + 8 y = 0

16.99y^2=32+15.93x^2

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

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

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

((y-5)^2}{16}-\frac{(x+4)^2)/4 =1

\frac{( y - 5 ) ^{2}}{16} - \frac{( x + 4 ) ^{2}}{4} = 1

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

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