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Beliebt Geometry >

9x^2-4y^2-54x+8y-113=0

Lösung

9 x^{2} - 4 y^{2} - 54 x + 8 y - 113 = 0

Lösung

(h, k) = (3, 1), a = \frac{190}{3}, b = \frac{95}{2}

Schritte zur Lösung

9 x^{2} - 4 y^{2} - 54 x + 8 y - 113 = 0

Rewrite

9 x^{2} - 4 y^{2} - 54 x + 8 y - 113 = 0

in the form of a standard hyperbola equation

\frac{( x - 3 ) ^{2}}{( \frac{190}{3} ) ^{2}} - \frac{( y - 1 ) ^{2}}{( \frac{95}{2} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (3, 1), a = \frac{190}{3}, b = \frac{95}{2}

Graph

Beliebte Beispiele

((y+2)^2}{25}-\frac{(x-6)^2)/9 =1

\frac{( y + 2 ) ^{2}}{25} - \frac{( x - 6 ) ^{2}}{9} = 1

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4x^2+8x-3y^2+16=0

4 x^{2} + 8 x - 3 y^{2} + 16 = 0