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Beliebt Geometry >

x^2+2x+4y^2-8y+1=0

Lösung

x^{2} + 2 x + 4 y^{2} - 8 y + 1 = 0

Lösung

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

Schritte zur Lösung

x^{2} + 2 x + 4 y^{2} - 8 y + 1 = 0

Rewrite

x^{2} + 2 x + 4 y^{2} - 8 y + 1 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Graph

Beliebte Beispiele

25x^2+4y^2-8y-50x=71

25 x^{2} + 4 y^{2} - 8 y - 50 x = 71

12x^2+16y^2=192

12 x^{2} + 16 y^{2} = 192

16x^2+4y^2-32x+24y-12=0

16 x^{2} + 4 y^{2} - 32 x + 24 y - 12 = 0

x^{2} + 3 y^{2} = 6

2x^2-4x+y^2-6y=9

2 x^{2} - 4 x + y^{2} - 6 y = 9