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Beliebt Geometry >

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

Lösung

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

Lösung

(h, k) = (- 2, - 2), a = 2, b = 3

Schritte zur Lösung

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (- 2, - 2), a = 2, b = 3

Graph

Beliebte Beispiele

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

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

((x+2)^2}{16}-\frac{(y+3)^2)/9 =1

\frac{( x + 2 ) ^{2}}{16} - \frac{( y + 3 ) ^{2}}{9} = 1

((y-4)^2}{48}-\frac{(x+1)^2)/9 =1

\frac{( y - 4 ) ^{2}}{48} - \frac{( x + 1 ) ^{2}}{9} = 1

25y^{(2)}-16x^{(2)}-400=0

25 y^{(2)} - 16 x^{(2)} - 400 = 0

- x^{2} + 4 y^{2} = 4