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Beliebt Geometry >

9x^2+36y^2+36x+432y=-1008

Lösung

9 x^{2} + 36 y^{2} + 36 x + 432 y = - 1008

Lösung

(h, k) = (- 2, - 6), a = 6, b = 3

Schritte zur Lösung

9 x^{2} + 36 y^{2} + 36 x + 432 y = - 1008

Rewrite

9 x^{2} + 36 y^{2} + 36 x + 432 y = - 1008

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (- 2, - 6), a = 6, b = 3

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 2, - 6), a = 6, b = 3

Graph

Beliebte Beispiele

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

x^2+6x+9y^2-54y+81=0

x^{2} + 6 x + 9 y^{2} - 54 y + 81 = 0

25x^2-100x+36y^2-72y=-36

25 x^{2} - 100 x + 36 y^{2} - 72 y = - 36

x^{2} + y^{2} \leq y

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

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