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Beliebt Geometry >

25x^2+9y^2-100x-54y-44=0

Lösung

25 x^{2} + 9 y^{2} - 100 x - 54 y - 44 = 0

Lösung

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

Schritte zur Lösung

25 x^{2} + 9 y^{2} - 100 x - 54 y - 44 = 0

Rewrite

25 x^{2} + 9 y^{2} - 100 x - 54 y - 44 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

Graph

Beliebte Beispiele

180x^2+196y^2=2205

180 x^{2} + 196 y^{2} = 2205

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\frac{( x + 0 ) ^{2}}{\frac{225}{25}} + \frac{( y - 1 ) ^{2}}{\frac{225}{9}} = 1

9x^2-72x+y^2+10y+160=0

9 x^{2} - 72 x + y^{2} + 10 y + 160 = 0

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\frac{x ^{2}}{3} + \frac{y ^{2}}{6} = 1