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Beliebt Geometry >

x^2-4y^2+2x-8y-19=0

Lösung

x^{2} - 4 y^{2} + 2 x - 8 y - 19 = 0

Lösung

(h, k) = (- 1, - 1), a = 4, b = 2

Schritte zur Lösung

x^{2} - 4 y^{2} + 2 x - 8 y - 19 = 0

Rewrite

x^{2} - 4 y^{2} + 2 x - 8 y - 19 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (- 1, - 1), a = 4, b = 2

Graph

Beliebte Beispiele

x^2-y^2-8x+2y+14=0

x^{2} - y^{2} - 8 x + 2 y + 14 = 0

9x^2-y^2+54x+10y+55=0

9 x^{2} - y^{2} + 54 x + 10 y + 55 = 0

4x^{(2)}-25y^{(2)}+16x+50y-109=0

4 x^{(2)} - 25 y^{(2)} + 16 x + 50 y - 109 = 0

x^2+12=y^2+6x-2y

x^{2} + 12 = y^{2} + 6 x - 2 y

-36x^2+25y^2=900

- 36 x^{2} + 25 y^{2} = 900