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Beliebt Geometry >

2x^2-9y+6x-3y^2=1

Lösung

2 x^{2} - 9 y + 6 x - 3 y^{2} = 1

Lösung

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

Schritte zur Lösung

2 x^{2} - 9 y + 6 x - 3 y^{2} = 1

Rewrite

2 x^{2} - 9 y + 6 x - 3 y^{2} = 1

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Graph

Beliebte Beispiele

y^{2} = x^{2} + 6

4x^2-3y^2-8x-8=0

4 x^{2} - 3 y^{2} - 8 x - 8 = 0

9x^2-16y^2-126x+160y-103=0

9 x^{2} - 16 y^{2} - 126 x + 160 y - 103 = 0

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4 x^{2} - 25 y^{2} - 4 x + 10 y - 100 = 0

4x^2+16x-9y^2+18y-29=0

4 x^{2} + 16 x - 9 y^{2} + 18 y - 29 = 0