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Beliebt Geometry >

4x^2+24x+9y^2+18y+9=0

Lösung

4 x^{2} + 24 x + 9 y^{2} + 18 y + 9 = 0

Lösung

(h, k) = (- 3, - 1), a = 3, b = 2

Schritte zur Lösung

4 x^{2} + 24 x + 9 y^{2} + 18 y + 9 = 0

Rewrite

4 x^{2} + 24 x + 9 y^{2} + 18 y + 9 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (- 3, - 1), a = 3, b = 2

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 3, - 1), a = 3, b = 2

Graph

Beliebte Beispiele

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

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

7(x-2004)^2=23-y^2

7 (x - 2004)^{2} = 23 - y^{2}

((x-6)^2}{25}+\frac{(y-7)^2)/9 =1

\frac{( x - 6 ) ^{2}}{25} + \frac{( y - 7 ) ^{2}}{9} = 1

8x^2+y^2-32x-16y=-16

8 x^{2} + y^{2} - 32 x - 16 y = - 16

(x^2)/(16)+(y^2)/(48)=1

\frac{x ^{2}}{16} + \frac{y ^{2}}{48} = 1