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Beliebt Geometry >

x^2+3y^2+4x-6y+1=0

Lösung

x^{2} + 3 y^{2} + 4 x - 6 y + 1 = 0

Lösung

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

Schritte zur Lösung

x^{2} + 3 y^{2} + 4 x - 6 y + 1 = 0

Rewrite

x^{2} + 3 y^{2} + 4 x - 6 y + 1 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Graph

Beliebte Beispiele

2 x^{2} + 8 y^{2} = 16

((x+2)^2)/9+((y-3)^2)/(16)=1

\frac{( x + 2 ) ^{2}}{9} + \frac{( y - 3 ) ^{2}}{16} = 1

4x^2+y^2-32x-4y+67=0

4 x^{2} + y^{2} - 32 x - 4 y + 67 = 0

((x-4)^2)/9+((y-1)^2)/(25)=1

\frac{( x - 4 ) ^{2}}{9} + \frac{( y - 1 ) ^{2}}{25} = 1

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