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Beliebt Geometry >

x^2+2y^2-8y+4=0

Lösung

x^{2} + 2 y^{2} - 8 y + 4 = 0

Lösung

(h, k) = (0, 2), a = 2, b = 2

Schritte zur Lösung

x^{2} + 2 y^{2} - 8 y + 4 = 0

Rewrite

x^{2} + 2 y^{2} - 8 y + 4 = 0

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{2 ^{2}} + \frac{( y - 2 ) ^{2}}{( 2 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 2), a = 2, b = 2

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 2), a = 2, b = 2

Graph

Beliebte Beispiele

3x^2+4y^2-18x-8y-17=0

3 x^{2} + 4 y^{2} - 18 x - 8 y - 17 = 0

(x^2)/(20)+(y^2)/(16)=1

\frac{x ^{2}}{20} + \frac{y ^{2}}{16} = 1

((x+7)^2)/(16)+((y-4)^2)/(25)=1

\frac{( x + 7 ) ^{2}}{16} + \frac{( y - 4 ) ^{2}}{25} = 1

49x^2+y^2-14y=0

49 x^{2} + y^{2} - 14 y = 0

x^{2} + 5 y^{2} = 2021 y