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Beliebt Geometry >

3y^2-2x^2-x+5y-15=0

Lösung

3 y^{2} - 2 x^{2} - x + 5 y - 15 = 0

Lösung

(h, k) = (- \frac{1}{4}, - \frac{5}{6}), a = \frac{407}{6 2}, b = \frac{407}{4 3}

Schritte zur Lösung

3 y^{2} - 2 x^{2} - x + 5 y - 15 = 0

Rewrite

3 y^{2} - 2 x^{2} - x + 5 y - 15 = 0

in the form of a standard hyperbola equation

\frac{( y - ( - \frac{5}{6} ) ) ^{2}}{( \frac{407}{6 2} ) ^{2}} - \frac{( x - ( - \frac{1}{4} ) ) ^{2}}{( \frac{407}{4 3} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- \frac{1}{4}, - \frac{5}{6}), a = \frac{407}{6 2}, b = \frac{407}{4 3}

Graph

Beliebte Beispiele

4x^2-9y^2-8x-36y-68=0

4 x^{2} - 9 y^{2} - 8 x - 36 y - 68 = 0

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3 x^{2} - 5 y^{2} + 6 x + 10 y = 32

a^{2} - b^{2} = 12

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\frac{( x - 3 ) ^{2}}{36} - \frac{( y - 4 ) ^{2}}{81} = 1

x^2-2x-y^2+4y=7

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