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Beliebt Geometry >

x^2+4y^2-4x-8y-92=0

Lösung

x^{2} + 4 y^{2} - 4 x - 8 y - 92 = 0

Lösung

(h, k) = (2, 1), a = 10, b = 5

Schritte zur Lösung

x^{2} + 4 y^{2} - 4 x - 8 y - 92 = 0

Rewrite

x^{2} + 4 y^{2} - 4 x - 8 y - 92 = 0

in the form of the standard ellipse equation

\frac{( x - 2 ) ^{2}}{1 0 ^{2}} + \frac{( y - 1 ) ^{2}}{5 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (2, 1), a = 10, b = 5

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (2, 1), a = 10, b = 5

Graph

Beliebte Beispiele

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