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Beliebt Geometry >

16x^2+25y^2-96x-250y+369=0

Lösung

16 x^{2} + 25 y^{2} - 96 x - 250 y + 369 = 0

Lösung

(h, k) = (3, 5), a = 5, b = 4

Schritte zur Lösung

16 x^{2} + 25 y^{2} - 96 x - 250 y + 369 = 0

Rewrite

16 x^{2} + 25 y^{2} - 96 x - 250 y + 369 = 0

in the form of the standard ellipse equation

\frac{( x - 3 ) ^{2}}{5 ^{2}} + \frac{( y - 5 ) ^{2}}{4 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (3, 5), a = 5, b = 4

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (3, 5), a = 5, b = 4

Graph

Beliebte Beispiele

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78 = 32 (x - \frac{3}{2})^{2} + 50 (y + 1)^{2}

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x^{2} + 2 y^{2} - 3 x + 8 y - 1 = 0

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