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Beliebt Geometry >

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

Lösung

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

Lösung

(h, k) = (2, 2), a = 26, b = 6

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

\frac{( x - 2 ) ^{2}}{( 2 6 ) ^{2}} + \frac{( y - 2 ) ^{2}}{( 6 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (2, 2), a = 26, b = 6

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (2, 2), a = 26, b = 6

Graph

Beliebte Beispiele

7(x-2004)^2=23-y^2

7 (x - 2004)^{2} = 23 - y^{2}

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8x^2+y^2-32x-16y=-16

8 x^{2} + y^{2} - 32 x - 16 y = - 16

(x^2)/(16)+(y^2)/(48)=1

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\frac{( x - 2 ) ^{2}}{9} + \frac{( y - 3 ) ^{2}}{5} = 1