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Beliebt Geometry >

36x^2+9y^2+288x-90y+477=0

Lösung

36 x^{2} + 9 y^{2} + 288 x - 90 y + 477 = 0

Lösung

(h, k) = (- 4, 5), a = 3, b = 6

Schritte zur Lösung

36 x^{2} + 9 y^{2} + 288 x - 90 y + 477 = 0

Rewrite

36 x^{2} + 9 y^{2} + 288 x - 90 y + 477 = 0

in the form of the standard ellipse equation

\frac{( x - ( - 4 ) ) ^{2}}{3 ^{2}} + \frac{( y - 5 ) ^{2}}{6 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 4, 5), a = 3, b = 6

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 4, 5), b = 6, a = 3

Graph

Beliebte Beispiele

((x^2)/(72))+((y^2)/(21))=1

(\frac{x ^{2}}{72}) + (\frac{y ^{2}}{21}) = 1

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16 x^{2} + 25 y^{2} = 1400

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5 x^{2} + 9 y^{2} - 80 x + 54 y + 221 = 0

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