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Beliebt Geometry >

x^2-y^2+6x-9y+81=0

Lösung

x^{2} - y^{2} + 6 x - 9 y + 81 = 0

Lösung

(h, k) = (- 3, - \frac{9}{2}), a = \frac{3 41}{2}, b = \frac{3 41}{2}

Schritte zur Lösung

x^{2} - y^{2} + 6 x - 9 y + 81 = 0

Rewrite

x^{2} - y^{2} + 6 x - 9 y + 81 = 0

in the form of a standard hyperbola equation

\frac{( y - ( - \frac{9}{2} ) ) ^{2}}{( \frac{3 41}{2} ) ^{2}} - \frac{( x - ( - 3 ) ) ^{2}}{( \frac{3 41}{2} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 3, - \frac{9}{2}), a = \frac{3 41}{2}, b = \frac{3 41}{2}

Graph

Beliebte Beispiele

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

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

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

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16 y^{2} - 9 x^{2} + 54 x + 64 y - 161 = 0

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16x^2-9y^2-256y+180x-452=0

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