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Beliebt Geometry >

25x^2+4y^2-50x+8y-71=0

Lösung

25 x^{2} + 4 y^{2} - 50 x + 8 y - 71 = 0

Lösung

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

Schritte zur Lösung

25 x^{2} + 4 y^{2} - 50 x + 8 y - 71 = 0

Rewrite

25 x^{2} + 4 y^{2} - 50 x + 8 y - 71 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

Graph

Beliebte Beispiele

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16 x^{2} - 64 x + 25 y^{2} + 100 y = 236

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16 x^{2} + 36 y^{2} + 32 x + 72 y - 524 = 0

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