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Beliebt Geometry >

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

Lösung

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

Lösung

(h, k) = (1, - 4), a = 11, b = 22

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

\frac{( x - 1 ) ^{2}}{( 11 ) ^{2}} + \frac{( y - ( - 4 ) ) ^{2}}{( 22 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (1, - 4), a = 11, b = 22

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (1, - 4), b = 22, a = 11

Graph

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