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Beliebt Geometry >

achse x^2+4y^2-6x-16y=36

Lösung

achse

x^{2} + 4 y^{2} - 6 x - 16 y = 36

Lösung

semi - major axis a = 61, semi - minor axis b = \frac{61}{2}

Schritte zur Lösung

x^{2} + 4 y^{2} - 6 x - 16 y = 36

Rewrite

x^{2} + 4 y^{2} - 6 x - 16 y = 36

in the form of the standard ellipse equation

\frac{( x - 3 ) ^{2}}{( 61 ) ^{2}} + \frac{( y - 2 ) ^{2}}{( \frac{61}{2} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (3, 2), a = 61, b = \frac{61}{2}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (3, 2), a = 61, b = \frac{61}{2}

Graph

Beliebte Beispiele

achse x^2+y^2+4x-12y=0

a x i s x^{2} + y^{2} + 4 x - 12 y = 0

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a x i s 16 x^{2} + 9 y^{2} - 144 = 0

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a x i s \frac{( x - 5 ) ^{2}}{49} + \frac{( y - 9 ) ^{2}}{25} = 1

achse (x^2)/(56)+(y^2)/(36)=1

a x i s \frac{x ^{2}}{56} + \frac{y ^{2}}{36} = 1