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Beliebt Geometry >

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

Lösung

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

Lösung

(h, k) = (2, - 2), a = 5, b = 4

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (2, - 2), a = 5, b = 4

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (2, - 2), a = 5, b = 4

Graph

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