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Beliebt Geometry >

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

Lösung

center

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

Lösung

(3, - 3)

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

And the center is:

(3, - 3)

Graph

Beliebte Beispiele

center y^2-4y-4x^2+13=0

ce n t er y^{2} - 4 y - 4 x^{2} + 13 = 0

center ((y+3)^2)/4-((x+1)^2)/(16)=1

ce n t er \frac{( y + 3 ) ^{2}}{4} - \frac{( x + 1 ) ^{2}}{16} = 1

center ((x-1)^2)/4-((y+3)^2)/(16)=1

ce n t er \frac{( x - 1 ) ^{2}}{4} - \frac{( y + 3 ) ^{2}}{16} = 1

center x^2-y^2=9

ce n t er x^{2} - y^{2} = 9

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

ce n t er 4 y^{2} - 9 x^{2} + 16 y + 18 x = 29