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Beliebt Geometry >

16x^2+4y^2+96x-16y+96=0

Lösung

16 x^{2} + 4 y^{2} + 96 x - 16 y + 96 = 0

Lösung

(h, k) = (- 3, 2), a = 2, b = 4

Schritte zur Lösung

16 x^{2} + 4 y^{2} + 96 x - 16 y + 96 = 0

Rewrite

16 x^{2} + 4 y^{2} + 96 x - 16 y + 96 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (- 3, 2), a = 2, b = 4

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 3, 2), b = 4, a = 2

Graph

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