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Beliebt Geometry >

25x^2+10y^2=50

Lösung

25 x^{2} + 10 y^{2} = 50

Lösung

(h, k) = (0, 0), a = 2, b = 5

Schritte zur Lösung

25 x^{2} + 10 y^{2} = 50

Rewrite

25 x^{2} + 10 y^{2} = 50

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 2, b = 5

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 5, a = 2

Graph

Beliebte Beispiele

((x-2)^2)/(36)+((y+1)^2)/(25)=1

\frac{( x - 2 ) ^{2}}{36} + \frac{( y + 1 ) ^{2}}{25} = 1

4 = 4 x^{2} + y^{2} + 1

((x+4)^2}{25}+\frac{(y-2)^2)/9 =1

\frac{( x + 4 ) ^{2}}{25} + \frac{( y - 2 ) ^{2}}{9} = 1

9x^2+16y^2+72x=0

9 x^{2} + 16 y^{2} + 72 x = 0

x^2+8y^2+54x-48y+8=0

x^{2} + 8 y^{2} + 54 x - 48 y + 8 = 0