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Beliebt Geometry >

9x^2+4y^2+36x+24y+36=0

Lösung

9 x^{2} + 4 y^{2} + 36 x + 24 y + 36 = 0

Lösung

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

Schritte zur Lösung

9 x^{2} + 4 y^{2} + 36 x + 24 y + 36 = 0

Rewrite

9 x^{2} + 4 y^{2} + 36 x + 24 y + 36 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

Graph

Beliebte Beispiele

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