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Beliebt Geometry >

3x^2-3y^2-2x+y-6=0

Lösung

3 x^{2} - 3 y^{2} - 2 x + y - 6 = 0

Lösung

(h, k) = (\frac{1}{3}, \frac{1}{6}), a = \frac{5}{2 3}, b = \frac{5}{2 3}

Schritte zur Lösung

3 x^{2} - 3 y^{2} - 2 x + y - 6 = 0

Rewrite

3 x^{2} - 3 y^{2} - 2 x + y - 6 = 0

in the form of a standard hyperbola equation

\frac{( x - \frac{1}{3} ) ^{2}}{( \frac{5}{2 3} ) ^{2}} - \frac{( y - \frac{1}{6} ) ^{2}}{( \frac{5}{2 3} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (\frac{1}{3}, \frac{1}{6}), a = \frac{5}{2 3}, b = \frac{5}{2 3}

Graph

Beliebte Beispiele

((x-1)^2}{16}-\frac{(y-2)^2)/9 =1

\frac{( x - 1 ) ^{2}}{16} - \frac{( y - 2 ) ^{2}}{9} = 1

[f(x)]^2=3x^2-5x+4

[f (x)]^{2} = 3 x^{2} - 5 x + 4

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

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

y^2+4y-3x^2+6x+4=0

y^{2} + 4 y - 3 x^{2} + 6 x + 4 = 0

3 x^{2} - 2 y^{2} = 4