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Beliebt Geometry >

9x^2-9y^2-6x+24y=19

Lösung

9 x^{2} - 9 y^{2} - 6 x + 24 y = 19

Lösung

(h, k) = (\frac{1}{3}, \frac{4}{3}), a = \frac{2}{3}, b = \frac{2}{3}

Schritte zur Lösung

9 x^{2} - 9 y^{2} - 6 x + 24 y = 19

Rewrite

9 x^{2} - 9 y^{2} - 6 x + 24 y = 19

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (\frac{1}{3}, \frac{4}{3}), a = \frac{2}{3}, b = \frac{2}{3}

Graph

Beliebte Beispiele

(y^2)/(56)-(x^2)/(56)=1

\frac{y ^{2}}{56} - \frac{x ^{2}}{56} = 1

((y-1)^2)/9-((x-3)^2)/4 =1

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4(y-4)^2-(x-2)^2=36

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((x-3)^2)/(16+(y+5)^2)=1

\frac{( x - 3 ) ^{2}}{16 + ( y + 5 ) ^{2}} = 1

x^{2} - y^{2} = 71