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Beliebt Geometry >

center 36x^2+5y^2-90y-495=0

Lösung

center

36 x^{2} + 5 y^{2} - 90 y - 495 = 0

Lösung

(0, 9)

Schritte zur Lösung

36 x^{2} + 5 y^{2} - 90 y - 495 = 0

Rewrite

36 x^{2} + 5 y^{2} - 90 y - 495 = 0

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{5 ^{2}} + \frac{( y - 9 ) ^{2}}{( 6 5 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 9), a = 5, b = 65

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 9), b = 65, a = 5

And the center is:

(0, 9)

Graph

Beliebte Beispiele

center 4x^2+y^2+12x+6y+5=0

ce n t er 4 x^{2} + y^{2} + 12 x + 6 y + 5 = 0

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ce n t er x^{2} + 5 y^{2} - 4 x + 20 y = - 19

center 49x^2+625y^2=30625

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center ((x+2)^2)/(81)+(y^2)/(36)=1

ce n t er \frac{( x + 2 ) ^{2}}{81} + \frac{y ^{2}}{36} = 1