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Beliebt Geometry >

9x^2-4y^2-18x+8y+10=0

Lösung

9 x^{2} - 4 y^{2} - 18 x + 8 y + 10 = 0

Lösung

(h, k) = (1, 1), a = \frac{5}{2}, b = \frac{5}{3}

Schritte zur Lösung

9 x^{2} - 4 y^{2} - 18 x + 8 y + 10 = 0

Rewrite

9 x^{2} - 4 y^{2} - 18 x + 8 y + 10 = 0

in the form of a standard hyperbola equation

\frac{( y - 1 ) ^{2}}{( \frac{5}{2} ) ^{2}} - \frac{( x - 1 ) ^{2}}{( \frac{5}{3} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (1, 1), a = \frac{5}{2}, b = \frac{5}{3}

Graph

Beliebte Beispiele

x^{2} - y^{2} - 4 x + 3 = 0

1+y^2=x^2(10/4)

1 + y^{2} = x^{2} (\frac{10}{4})

((x^2)/(16))-(((y+4)^2)/(81))=1

(\frac{x ^{2}}{16}) - (\frac{( y + 4 ) ^{2}}{81}) = 1

16x^2+96x-9y^2+54y+207=0

16 x^{2} + 96 x - 9 y^{2} + 54 y + 207 = 0

4x^2-25y^2+16x+50y-109=0

4 x^{2} - 25 y^{2} + 16 x + 50 y - 109 = 0