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Beliebt Geometry >

x^2+2y^2-2x+8y+5=0

Lösung

x^{2} + 2 y^{2} - 2 x + 8 y + 5 = 0

Lösung

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

Schritte zur Lösung

x^{2} + 2 y^{2} - 2 x + 8 y + 5 = 0

Rewrite

x^{2} + 2 y^{2} - 2 x + 8 y + 5 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Graph

Beliebte Beispiele

(x-1)^2+(y-1)^2=2

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

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

(x^2}{36}-\frac{y^2)/4 =1

\frac{x ^{2}}{36} - \frac{y ^{2}}{4} = 1

achse 5x^2+30x+24y=51

a x i s 5 x^{2} + 30 x + 24 y = 51

y^2-12y-4x+28=0

y^{2} - 12 y - 4 x + 28 = 0