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Beliebt Geometry >

achse 3x^2+y^2+2x-6y=3

Lösung

achse

3 x^{2} + y^{2} + 2 x - 6 y = 3

Lösung

semi - major axis b = \frac{37}{3}, semi - minor axis a = \frac{37}{3}

Schritte zur Lösung

3 x^{2} + y^{2} + 2 x - 6 y = 3

Rewrite

3 x^{2} + y^{2} + 2 x - 6 y = 3

in the form of the standard ellipse equation

\frac{( x - ( - \frac{1}{3} ) ) ^{2}}{( \frac{37}{3} ) ^{2}} + \frac{( y - 3 ) ^{2}}{( \frac{37}{3} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- \frac{1}{3}, 3), a = \frac{37}{3}, b = \frac{37}{3}

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- \frac{1}{3}, 3), b = \frac{37}{3}, a = \frac{37}{3}

Graph

Beliebte Beispiele

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