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Beliebt Geometry >

9x^2-72x+4y^2+40y+244=36

Lösung

9 x^{2} - 72 x + 4 y^{2} + 40 y + 244 = 36

Lösung

(h, k) = (4, - 5), a = 2, b = 3

Schritte zur Lösung

9 x^{2} - 72 x + 4 y^{2} + 40 y + 244 = 36

Rewrite

9 x^{2} - 72 x + 4 y^{2} + 40 y + 244 = 36

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (4, - 5), a = 2, b = 3

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (4, - 5), b = 3, a = 2

Graph

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