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Beliebt Geometry >

4x^2-9y^2-16x+18y-9=0

Lösung

4 x^{2} - 9 y^{2} - 16 x + 18 y - 9 = 0

Lösung

(h, k) = (2, 1), a = 2, b = \frac{4}{3}

Schritte zur Lösung

4 x^{2} - 9 y^{2} - 16 x + 18 y - 9 = 0

Rewrite

4 x^{2} - 9 y^{2} - 16 x + 18 y - 9 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (2, 1), a = 2, b = \frac{4}{3}

Graph

Beliebte Beispiele

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

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

a^{2} - b^{2} = 68

(x^2)/9-(y^2)/(40)=1

\frac{x ^{2}}{9} - \frac{y ^{2}}{40} = 1

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

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