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Beliebt Geometry >

x^2-9(y+1)^2-9=x+2y+5

Lösung

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

Lösung

(h, k) = (\frac{1}{2}, - \frac{10}{9}), a = \frac{437}{6}, b = \frac{437}{18}

Schritte zur Lösung

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

Rewrite

x^{2} - 9 (y + 1)^{2} - 9 - x - 2 y - 5 = 0

in the form of a standard hyperbola equation

\frac{( x - \frac{1}{2} ) ^{2}}{( \frac{437}{6} ) ^{2}} - \frac{( y - ( - \frac{10}{9} ) ) ^{2}}{( \frac{437}{18} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (\frac{1}{2}, - \frac{10}{9}), a = \frac{437}{6}, b = \frac{437}{18}

Graph

Beliebte Beispiele

-16x^2+25y^2-32x+100y=316

- 16 x^{2} + 25 y^{2} - 32 x + 100 y = 316

y^{2} - z^{2} = 4

A^{2} - B^{2} = 280

(8(x+7)^2-12(y-5)^2)/(96)=1

\frac{8 ( x + 7 ) ^{2} - 12 ( y - 5 ) ^{2}}{96} = 1

(x^2)/(180)-((y+1)^2)/(100)=1

\frac{x ^{2}}{180} - \frac{( y + 1 ) ^{2}}{100} = 1