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Beliebt Geometry >

4=x^2+9y^2

Lösung

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

Lösung

(h, k) = (0, 0), a = 2, b = \frac{2}{3}

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{2 ^{2}} + \frac{( y - 0 ) ^{2}}{( \frac{2}{3} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 2, b = \frac{2}{3}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 2, b = \frac{2}{3}

Graph

Beliebte Beispiele

1x^2+3y^2+9x+9y-12=0

1 x^{2} + 3 y^{2} + 9 x + 9 y - 12 = 0

2 x^{2} + 9 y^{2} = 18

25 - x^{2} - y^{2} = e^{4}

9 x^{2} + y^{2} = 36

25x^2+49y^2+100x-392y-341=0

25 x^{2} + 49 y^{2} + 100 x - 392 y - 341 = 0