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Beliebt Geometry >

achse 6x^2+8y^2+12x-32y=178

Lösung

achse

6 x^{2} + 8 y^{2} + 12 x - 32 y = 178

Lösung

semi - major axis a = 6, semi - minor axis b = 33

Schritte zur Lösung

6 x^{2} + 8 y^{2} + 12 x - 32 y = 178

Rewrite

6 x^{2} + 8 y^{2} + 12 x - 32 y = 178

in the form of the standard ellipse equation

\frac{( x - ( - 1 ) ) ^{2}}{6 ^{2}} + \frac{( y - 2 ) ^{2}}{( 3 3 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 1, 2), a = 6, b = 33

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 1, 2), a = 6, b = 33

Graph

Beliebte Beispiele

achse 3x^2+12x+4y^2-40y+100=0

a x i s 3 x^{2} + 12 x + 4 y^{2} - 40 y + 100 = 0

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a x i s \frac{( x - 3 ) ^{2}}{49} + \frac{( y + 6 ) ^{2}}{100} = 1

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