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Beliebt Geometry >

-12x^2+9y^2+24x-6y+9=0

Lösung

- 12 x^{2} + 9 y^{2} + 24 x - 6 y + 9 = 0

Lösung

(h, k) = (1, \frac{1}{3}), a = \frac{5}{3}, b = \frac{2 5}{3}

Schritte zur Lösung

- 12 x^{2} + 9 y^{2} + 24 x - 6 y + 9 = 0

Rewrite

- 12 x^{2} + 9 y^{2} + 24 x - 6 y + 9 = 0

in the form of a standard hyperbola equation

\frac{( x - 1 ) ^{2}}{( \frac{5}{3} ) ^{2}} - \frac{( y - \frac{1}{3} ) ^{2}}{( \frac{2 5}{3} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (1, \frac{1}{3}), a = \frac{5}{3}, b = \frac{2 5}{3}

Graph

Beliebte Beispiele

(y^2)/4-(x^2)/(16)=1

\frac{y ^{2}}{4} - \frac{x ^{2}}{16} = 1

-((x-3)^2)/(25)+((y-4)^2)/(36)=1

- \frac{( x - 3 ) ^{2}}{25} + \frac{( y - 4 ) ^{2}}{36} = 1

137+6y=y^2-24x-x^2

137 + 6 y = y^{2} - 24 x - x^{2}

(y^2)/(25)-((x-5)^2)/(16)=1

\frac{y ^{2}}{25} - \frac{( x - 5 ) ^{2}}{16} = 1

4x^2-y^2-12y+36=0

4 x^{2} - y^{2} - 12 y + 36 = 0