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Beliebt Geometry >

6x^2-5y^2+12x-30y-9=0

Lösung

6 x^{2} - 5 y^{2} + 12 x - 30 y - 9 = 0

Lösung

(h, k) = (- 1, - 3), a = 6, b = 5

Schritte zur Lösung

6 x^{2} - 5 y^{2} + 12 x - 30 y - 9 = 0

Rewrite

6 x^{2} - 5 y^{2} + 12 x - 30 y - 9 = 0

in the form of a standard hyperbola equation

\frac{( y - ( - 3 ) ) ^{2}}{( 6 ) ^{2}} - \frac{( x - ( - 1 ) ) ^{2}}{( 5 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 1, - 3), a = 6, b = 5

Graph

Beliebte Beispiele

18 y^{2} - 4 x^{2} = 1

11^2-x^2+y^2=9^2

1 1^{2} - x^{2} + y^{2} = 9^{2}

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

9 (x - 3)^{2} - 4 (y - 1)^{2} = - 36

x^2-y^2-2x-2y-1=0

x^{2} - y^{2} - 2 x - 2 y - 1 = 0

solvefor x,h(x)^2=13x^2-6x+1

so l v e f or x, h (x)^{2} = 13 x^{2} - 6 x + 1