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Beliebt Geometry >

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

Lösung

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

Lösung

(h, k) = (2, - 1), a = 4, b = 1

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (2, - 1), a = 4, b = 1

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (2, - 1), a = 4, b = 1

Graph

Beliebte Beispiele

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