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Beliebt Geometry >

x^2-3y^2+2x+6y-1=0

Lösung

x^{2} - 3 y^{2} + 2 x + 6 y - 1 = 0

Lösung

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

Schritte zur Lösung

x^{2} - 3 y^{2} + 2 x + 6 y - 1 = 0

Rewrite

x^{2} - 3 y^{2} + 2 x + 6 y - 1 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Graph

Beliebte Beispiele

x^2-y^2-2x-4y=-4

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

-25x^2+4y^2=100

- 25 x^{2} + 4 y^{2} = 100

((y+10)^2)/(36)-((x-3)^2)/(100)=1

\frac{( y + 10 ) ^{2}}{36} - \frac{( x - 3 ) ^{2}}{100} = 1

33(x-2)^2-16(y-5)^2=528

33 (x - 2)^{2} - 16 (y - 5)^{2} = 528

4x^2-5y^2-x+16y-1=0

4 x^{2} - 5 y^{2} - x + 16 y - 1 = 0