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Beliebt Geometry >

18y^2+24y+12x^2-12x=1

Lösung

18 y^{2} + 24 y + 12 x^{2} - 12 x = 1

Lösung

(h, k) = (\frac{1}{2}, - \frac{2}{3}), a = 1, b = \frac{2}{3}

Schritte zur Lösung

18 y^{2} + 24 y + 12 x^{2} - 12 x = 1

Rewrite

18 y^{2} + 24 y + 12 x^{2} - 12 x = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (\frac{1}{2}, - \frac{2}{3}), a = 1, b = \frac{2}{3}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (\frac{1}{2}, - \frac{2}{3}), a = 1, b = \frac{2}{3}

Graph

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