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Beliebt Geometry >

9x^2-4y^2+54x+8y+78=0

Lösung

9 x^{2} - 4 y^{2} + 54 x + 8 y + 78 = 0

Lösung

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

Schritte zur Lösung

9 x^{2} - 4 y^{2} + 54 x + 8 y + 78 = 0

Rewrite

9 x^{2} - 4 y^{2} + 54 x + 8 y + 78 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Graph

Beliebte Beispiele

x^2-9y^2-4x+36y-41=0

x^{2} - 9 y^{2} - 4 x + 36 y - 41 = 0

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((x+2)^2)/9-((y-1)^2)/(16)=1

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

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