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Beliebt Geometry >

-3x^2+2y^2+6x-7y=7

Lösung

- 3 x^{2} + 2 y^{2} + 6 x - 7 y = 7

Lösung

(h, k) = (1, \frac{7}{4}), a = \frac{9}{4}, b = \frac{3 3}{2 2}

Schritte zur Lösung

- 3 x^{2} + 2 y^{2} + 6 x - 7 y = 7

Rewrite

- 3 x^{2} + 2 y^{2} + 6 x - 7 y = 7

in the form of a standard hyperbola equation

\frac{( y - \frac{7}{4} ) ^{2}}{( \frac{9}{4} ) ^{2}} - \frac{( x - 1 ) ^{2}}{( \frac{3 3}{2 2} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (1, \frac{7}{4}), a = \frac{9}{4}, b = \frac{3 3}{2 2}

Graph

Beliebte Beispiele

16x^2-9y^2+32x+72y-704=0

16 x^{2} - 9 y^{2} + 32 x + 72 y - 704 = 0

16x^2-25y^2=400

16 x^{2} - 25 y^{2} = 400

(y^2}{25}-\frac{x^2)/4 =1

\frac{y ^{2}}{25} - \frac{x ^{2}}{4} = 1

(x^2)/(144)-(y^2)/(81)=1

\frac{x ^{2}}{144} - \frac{y ^{2}}{81} = 1

4 y^{2} - 9 x^{2} = 36