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Beliebt Geometry >

18x^2-32y^2-108y-128x-254=0

Lösung

18 x^{2} - 32 y^{2} - 108 y - 128 x - 254 = 0

Lösung

(h, k) = (\frac{32}{9}, - \frac{27}{16}), a = \frac{28111}{36}, b = \frac{28111}{48}

Schritte zur Lösung

18 x^{2} - 32 y^{2} - 108 y - 128 x - 254 = 0

Rewrite

18 x^{2} - 32 y^{2} - 108 y - 128 x - 254 = 0

in the form of a standard hyperbola equation

\frac{( x - \frac{32}{9} ) ^{2}}{( \frac{28111}{36} ) ^{2}} - \frac{( y - ( - \frac{27}{16} ) ) ^{2}}{( \frac{28111}{48} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (\frac{32}{9}, - \frac{27}{16}), a = \frac{28111}{36}, b = \frac{28111}{48}

Graph

Beliebte Beispiele

9x^2-16y^2-18x-64y-199=0

9 x^{2} - 16 y^{2} - 18 x - 64 y - 199 = 0

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

9y^2-x^2+2x+54y+62=0

9 y^{2} - x^{2} + 2 x + 54 y + 62 = 0

x^2-y^2+7x+8y=5

x^{2} - y^{2} + 7 x + 8 y = 5

x^{2} - (y - 3)^{2} = 16