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Beliebt Geometry >

25x^2+9y^2-250x-18y+409=0

Lösung

25 x^{2} + 9 y^{2} - 250 x - 18 y + 409 = 0

Lösung

(h, k) = (5, 1), a = 3, b = 5

Schritte zur Lösung

25 x^{2} + 9 y^{2} - 250 x - 18 y + 409 = 0

Rewrite

25 x^{2} + 9 y^{2} - 250 x - 18 y + 409 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (5, 1), a = 3, b = 5

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (5, 1), b = 5, a = 3

Graph

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