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Beliebt Geometry >

4x^2-24x+36y^2-360y+864=0

Lösung

4 x^{2} - 24 x + 36 y^{2} - 360 y + 864 = 0

Lösung

(h, k) = (3, 5), a = 32, b = 2

Schritte zur Lösung

4 x^{2} - 24 x + 36 y^{2} - 360 y + 864 = 0

Rewrite

4 x^{2} - 24 x + 36 y^{2} - 360 y + 864 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (3, 5), a = 32, b = 2

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (3, 5), a = 32, b = 2

Graph

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