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Beliebt Geometry >

x^2+2y^2-6y=18

Lösung

x^{2} + 2 y^{2} - 6 y = 18

Lösung

(h, k) = (0, \frac{3}{2}), a = \frac{3 5}{2}, b = \frac{3 5}{2}

Schritte zur Lösung

x^{2} + 2 y^{2} - 6 y = 18

Rewrite

x^{2} + 2 y^{2} - 6 y = 18

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{3 5}{2} ) ^{2}} + \frac{( y - \frac{3}{2} ) ^{2}}{( \frac{3 5}{2} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, \frac{3}{2}), a = \frac{3 5}{2}, b = \frac{3 5}{2}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, \frac{3}{2}), a = \frac{3 5}{2}, b = \frac{3 5}{2}

Graph

Beliebte Beispiele

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