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Beliebt Geometry >

((x-3)^2)/6-((y-1)^2)/(12)=1

Lösung

\frac{( x - 3 ) ^{2}}{6} - \frac{( y - 1 ) ^{2}}{12} = 1

Lösung

(h, k) = (3, 1), a = 6, b = 23

Schritte zur Lösung

\frac{( x - 3 ) ^{2}}{6} - \frac{( y - 1 ) ^{2}}{12} = 1

Rewrite

\frac{( x - 3 ) ^{2}}{6} - \frac{( y - 1 ) ^{2}}{12} = 1

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (3, 1), a = 6, b = 23

Graph

Beliebte Beispiele

((y-1)^2)/(36)-((x-2)^2)/(64)=1

\frac{( y - 1 ) ^{2}}{36} - \frac{( x - 2 ) ^{2}}{64} = 1

-x^2+4y^2-16y+12=0

- x^{2} + 4 y^{2} - 16 y + 12 = 0

((x-3)^2)/(25)-((y-2)^2)/(40)=1

\frac{( x - 3 ) ^{2}}{25} - \frac{( y - 2 ) ^{2}}{40} = 1

((x-1)^2)/4-((y+2)^2)/(13)=1

\frac{( x - 1 ) ^{2}}{4} - \frac{( y + 2 ) ^{2}}{13} = 1

100^2+15t^2=d^2

10 0^{2} + 15 t^{2} = d^{2}