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Beliebt Geometry >

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

Lösung

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

Lösung

(h, k) = (- 3, 0), a = 3, b = 1

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

\frac{( x - ( - 3 ) ) ^{2}}{( 3 ) ^{2}} + \frac{( y - 0 ) ^{2}}{1 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 3, 0), a = 3, b = 1

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 3, 0), a = 3, b = 1

Graph

Beliebte Beispiele

(x^2+8(y+5)^2)=20

(x^{2} + 8 (y + 5)^{2}) = 20

((x-4)^2)/(25)+((y-2)^2)/(16)=1

\frac{( x - 4 ) ^{2}}{25} + \frac{( y - 2 ) ^{2}}{16} = 1

9x^2+25y^2-36x-189=0

9 x^{2} + 25 y^{2} - 36 x - 189 = 0

9x^2+25y^2-18x-150y+9=0

9 x^{2} + 25 y^{2} - 18 x - 150 y + 9 = 0

2x^2+3y^2+8x+9y-10=0

2 x^{2} + 3 y^{2} + 8 x + 9 y - 10 = 0