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Beliebt Geometry >

achse 4x^2+9y^2-16x+18y-11=0

Lösung

achse

4 x^{2} + 9 y^{2} - 16 x + 18 y - 11 = 0

Lösung

semi - major axis a = 3, semi - minor axis b = 2

Schritte zur Lösung

4 x^{2} + 9 y^{2} - 16 x + 18 y - 11 = 0

Rewrite

4 x^{2} + 9 y^{2} - 16 x + 18 y - 11 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (2, - 1), a = 3, b = 2

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (2, - 1), a = 3, b = 2

Graph

Beliebte Beispiele

achse x^2+(y^2)/(49)=1

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a x i s \frac{x ^{2}}{20} + \frac{y ^{2}}{4} = 1

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a x i s 25 x^{2} + 4 y^{2} + 50 x - 16 y - 59 = 0