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Beliebt Geometry >

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

Lösung

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

Lösung

(h, k) = (3, - 3), a = 23, b = 23

Schritte zur Lösung

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (3, - 3), a = 23, b = 23

Graph

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- 36 y^{2} + 100 x^{2} - 1600 = 0

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