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Beliebt Geometry >

(x^2+1)/4-(y^2-2)/9 =-1

Lösung

\frac{x ^{2} + 1}{4} - \frac{y ^{2} - 2}{9} = - 1

Lösung

(h, k) = (0, 0), a = \frac{53}{2}, b = \frac{53}{3}

Schritte zur Lösung

\frac{x ^{2} + 1}{4} - \frac{y ^{2} - 2}{9} = - 1

Rewrite

\frac{x ^{2} + 1}{4} - \frac{y ^{2} - 2}{9} = - 1

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{( \frac{53}{2} ) ^{2}} - \frac{( x - 0 ) ^{2}}{( \frac{53}{3} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{53}{2}, b = \frac{53}{3}

Graph

Beliebte Beispiele

36x^2-9y^2+216x+36y=-207

36 x^{2} - 9 y^{2} + 216 x + 36 y = - 207

-4x^2+y^2+8x-20=0

- 4 x^{2} + y^{2} + 8 x - 20 = 0

((y-7)^2)/(32)-((x-1)^2)/(64)=1

\frac{( y - 7 ) ^{2}}{32} - \frac{( x - 1 ) ^{2}}{64} = 1

36x^2-16y^2-144x+128y-265=0

36 x^{2} - 16 y^{2} - 144 x + 128 y - 265 = 0

16 x^{2} - y^{2} = 1