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Beliebt Geometry >

(6(x)^2-12x)+((y)^2+4y)=-4

Lösung

(6 (x)^{2} - 12 x) + ((y)^{2} + 4 y) = - 4

Lösung

(h, k) = (1, - 2), a = 1, b = 6

Schritte zur Lösung

6 x^{2} - 12 x + (y^{2} + 4 y) = - 4

Rewrite

6 x^{2} - 12 x + (y^{2} + 4 y) = - 4

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (1, - 2), a = 1, b = 6

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (1, - 2), b = 6, a = 1

Graph

Beliebte Beispiele

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

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

x^2+3y^2-4x-23=0

x^{2} + 3 y^{2} - 4 x - 23 = 0

x^2+2y^2-3x+4y+0.25=0

x^{2} + 2 y^{2} - 3 x + 4 y + 0.25 = 0

2 x^{2} + y^{2} = 225

((x+3)^2)/(36)+((y-1)^2)/(16)=1

\frac{( x + 3 ) ^{2}}{36} + \frac{( y - 1 ) ^{2}}{16} = 1