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Beliebt Geometry >

6=x^2+9y^2

Lösung

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

Lösung

(h, k) = (0, 0), a = 6, b = \frac{2}{3}

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 6 ) ^{2}} + \frac{( y - 0 ) ^{2}}{( \frac{2}{3} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 6, 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 = 6, b = \frac{2}{3}

Graph

Beliebte Beispiele

(3x-3)^2+(-2y-4)^2=43+9+16

(3 x - 3)^{2} + (- 2 y - 4)^{2} = 43 + 9 + 16

36 x^{2} + 81 y^{2} = 49

49x^2+16y^2-784=0

49 x^{2} + 16 y^{2} - 784 = 0

9x^2+4y^2-54x-16y+61=0

9 x^{2} + 4 y^{2} - 54 x - 16 y + 61 = 0

(y^2}{16}+\frac{z^2)/9 =1

\frac{y ^{2}}{16} + \frac{z ^{2}}{9} = 1