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Beliebt Geometry >

5x^2+4y^2=56

Lösung

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

Lösung

(h, k) = (0, 0), a = \frac{2 14}{5}, b = 14

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{2 14}{5} ) ^{2}} + \frac{( y - 0 ) ^{2}}{( 14 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{2 14}{5}, b = 14

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 14, a = \frac{2 14}{5}

Graph

Beliebte Beispiele

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

((2x^2)/(25))+(((y-3)^2)/(49))=1

(\frac{2 x ^{2}}{25}) + (\frac{( y - 3 ) ^{2}}{49}) = 1