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Beliebt Geometry >

4x^2-9y^2-16x+18y-11=0

Lösung

4 x^{2} - 9 y^{2} - 16 x + 18 y - 11 = 0

Lösung

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

Schritte zur Lösung

4 x^{2} - 9 y^{2} - 16 x + 18 y - 11 = 0

Rewrite

4 x^{2} - 9 y^{2} - 16 x + 18 y - 11 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Graph

Beliebte Beispiele

4x^2-5y^2+30y=65

4 x^{2} - 5 y^{2} + 30 y = 65

4244-98y+324x-49y^2+81x^2=0

4244 - 98 y + 324 x - 49 y^{2} + 81 x^{2} = 0

-16x^2+25y^2+64x-100y-364=0

- 16 x^{2} + 25 y^{2} + 64 x - 100 y - 364 = 0

5x^2-10y^2-10=0

5 x^{2} - 10 y^{2} - 10 = 0

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