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Beliebt Geometry >

4x^2+16x-9y^2+18y=29

Lösung

4 x^{2} + 16 x - 9 y^{2} + 18 y = 29

Lösung

(h, k) = (- 2, 1), a = 3, b = 2

Schritte zur Lösung

4 x^{2} + 16 x - 9 y^{2} + 18 y = 29

Rewrite

4 x^{2} + 16 x - 9 y^{2} + 18 y = 29

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (- 2, 1), a = 3, b = 2

Graph

Beliebte Beispiele

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

3y^2-x^2+18y-4x+20=0

3 y^{2} - x^{2} + 18 y - 4 x + 20 = 0

9 y^{2} - x^{2} = 81

((y+2)^2)/(3^2)-((x-5)^2)/(5^2)=1

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

x^2-y^2+4x+16y-69=0

x^{2} - y^{2} + 4 x + 16 y - 69 = 0