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Beliebt Geometry >

-x^2+9y^2-54y+45=0

Lösung

- x^{2} + 9 y^{2} - 54 y + 45 = 0

Lösung

(h, k) = (0, 3), a = 2, b = 6

Schritte zur Lösung

- x^{2} + 9 y^{2} - 54 y + 45 = 0

Rewrite

- x^{2} + 9 y^{2} - 54 y + 45 = 0

in the form of a standard hyperbola equation

\frac{( y - 3 ) ^{2}}{2 ^{2}} - \frac{( x - 0 ) ^{2}}{6 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 3), a = 2, b = 6

Graph

Beliebte Beispiele

9x^2-25y^2-90x-100y-100=0

9 x^{2} - 25 y^{2} - 90 x - 100 y - 100 = 0

((y^2)}{25}-\frac{(x^2))/9 =1

\frac{( y ^{2} )}{25} - \frac{( x ^{2} )}{9} = 1

4x^2-25y^2+48+150-181=0

4 x^{2} - 25 y^{2} + 48 + 150 - 181 = 0

9y^2+36y-4x^2-16x-16=0

9 y^{2} + 36 y - 4 x^{2} - 16 x - 16 = 0

(x^2)/(56)-(y^2)/(20)=1

\frac{x ^{2}}{56} - \frac{y ^{2}}{20} = 1