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Beliebt Geometry >

4x^2-9y^2-8x-36y-68=0

Lösung

4 x^{2} - 9 y^{2} - 8 x - 36 y - 68 = 0

Lösung

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

Schritte zur Lösung

4 x^{2} - 9 y^{2} - 8 x - 36 y - 68 = 0

Rewrite

4 x^{2} - 9 y^{2} - 8 x - 36 y - 68 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Graph

Beliebte Beispiele

3x^2-5y^2+6x+10y=32

3 x^{2} - 5 y^{2} + 6 x + 10 y = 32

a^{2} - b^{2} = 12

((x-3)^2)/(36)-((y-4)^2)/(81)=1

\frac{( x - 3 ) ^{2}}{36} - \frac{( y - 4 ) ^{2}}{81} = 1

x^2-2x-y^2+4y=7

x^{2} - 2 x - y^{2} + 4 y = 7

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