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Beliebt Geometry >

y^2-3x^2-y+16x=9

Lösung

y^{2} - 3 x^{2} - y + 16 x = 9

Lösung

(h, k) = (\frac{8}{3}, \frac{1}{2}), a = \frac{145}{6}, b = \frac{145}{2 3}

Schritte zur Lösung

y^{2} - 3 x^{2} - y + 16 x = 9

Rewrite

y^{2} - 3 x^{2} - y + 16 x = 9

in the form of a standard hyperbola equation

\frac{( x - \frac{8}{3} ) ^{2}}{( \frac{145}{6} ) ^{2}} - \frac{( y - \frac{1}{2} ) ^{2}}{( \frac{145}{2 3} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (\frac{8}{3}, \frac{1}{2}), a = \frac{145}{6}, b = \frac{145}{2 3}

Graph

Beliebte Beispiele

(x^2)/9-(y^2)/(36)=1

\frac{x ^{2}}{9} - \frac{y ^{2}}{36} = 1

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

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

2 y^{2} - 4 x^{2} = 1

(x^2)/4-((y-6)^2)/(140)=1

\frac{x ^{2}}{4} - \frac{( y - 6 ) ^{2}}{140} = 1

(y^2)/(49)-(x^2)/(36)=1

\frac{y ^{2}}{49} - \frac{x ^{2}}{36} = 1