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Beliebt Geometry >

5x^{(2)}+9y^{(2)}=180

Lösung

5 x^{(2)} + 9 y^{(2)} = 180

Lösung

(h, k) = (0, 0), a = 6, b = 25

Schritte zur Lösung

5 x^{2} + 9 y^{2} = 180

Rewrite

5 x^{2} + 9 y^{2} = 180

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{6 ^{2}} + \frac{( y - 0 ) ^{2}}{( 2 5 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 6, b = 25

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 6, b = 25

Graph

Beliebte Beispiele

5 x^{2} + 4 y^{2} = 56

25x^2+9y^2-100y+18x-116=0

25 x^{2} + 9 y^{2} - 100 y + 18 x - 116 = 0

2x^2+3y^2+4x-5y-6=0

2 x^{2} + 3 y^{2} + 4 x - 5 y - 6 = 0

2 y - x^{2} - y^{2} > 0

25x^2+36y^2=900

25 x^{2} + 36 y^{2} = 900