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Beliebt Geometry >

x^2-4y^2+2x-16y-4=0

Lösung

x^{2} - 4 y^{2} + 2 x - 16 y - 4 = 0

Lösung

(h, k) = (- 1, - 2), a = \frac{11}{2}, b = 11

Schritte zur Lösung

x^{2} - 4 y^{2} + 2 x - 16 y - 4 = 0

Rewrite

x^{2} - 4 y^{2} + 2 x - 16 y - 4 = 0

in the form of a standard hyperbola equation

\frac{( y - ( - 2 ) ) ^{2}}{( \frac{11}{2} ) ^{2}} - \frac{( x - ( - 1 ) ) ^{2}}{( 11 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 1, - 2), a = \frac{11}{2}, b = 11

Graph

Beliebte Beispiele

(a + b) \cdot (a - b) = 20

y^2-2x^2+6y-16x-31=0

y^{2} - 2 x^{2} + 6 y - 16 x - 31 = 0

y^{2} = x^{2} - 3

x^2-9y^2-2x-36y=44

x^{2} - 9 y^{2} - 2 x - 36 y = 44

-2x^2-y^2=64-3x^2

- 2 x^{2} - y^{2} = 64 - 3 x^{2}