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Beliebt Geometry >

25x^2+16y^2+200x-160y+400=0

Lösung

25 x^{2} + 16 y^{2} + 200 x - 160 y + 400 = 0

Lösung

(h, k) = (- 4, 5), a = 4, b = 5

Schritte zur Lösung

25 x^{2} + 16 y^{2} + 200 x - 160 y + 400 = 0

Rewrite

25 x^{2} + 16 y^{2} + 200 x - 160 y + 400 = 0

in the form of the standard ellipse equation

\frac{( x - ( - 4 ) ) ^{2}}{4 ^{2}} + \frac{( y - 5 ) ^{2}}{5 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 4, 5), a = 4, b = 5

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 4, 5), b = 5, a = 4

Graph

Beliebte Beispiele

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

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

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9x^2+4y^2+54x-32y+109=0

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