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Beliebt Geometry >

-4x^2+24x+16y^2-128y+156=0

Lösung

- 4 x^{2} + 24 x + 16 y^{2} - 128 y + 156 = 0

Lösung

(h, k) = (3, 4), a = 2, b = 4

Schritte zur Lösung

- 4 x^{2} + 24 x + 16 y^{2} - 128 y + 156 = 0

Rewrite

- 4 x^{2} + 24 x + 16 y^{2} - 128 y + 156 = 0

in the form of a standard hyperbola equation

\frac{( y - 4 ) ^{2}}{2 ^{2}} - \frac{( x - 3 ) ^{2}}{4 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (3, 4), a = 2, b = 4

Graph

Beliebte Beispiele

(x + y) (x - y) - 2 = 0

(y^2)/(a^2)-(x^2)/(b^2)=1

\frac{y ^{2}}{a ^{2}} - \frac{x ^{2}}{b ^{2}} = 1

((y-5)^2}{25}-\frac{(x+5)^2)/9 =1

\frac{( y - 5 ) ^{2}}{25} - \frac{( x + 5 ) ^{2}}{9} = 1

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

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

9x^2-16y^2-36x+96y-252=0

9 x^{2} - 16 y^{2} - 36 x + 96 y - 252 = 0