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Beliebt Geometry >

20x^2+25y^2=400

Lösung

20 x^{2} + 25 y^{2} = 400

Lösung

(h, k) = (0, 0), a = 25, b = 4

Schritte zur Lösung

20 x^{2} + 25 y^{2} = 400

Rewrite

20 x^{2} + 25 y^{2} = 400

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 2 5 ) ^{2}} + \frac{( y - 0 ) ^{2}}{4 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 25, b = 4

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 25, b = 4

Graph

Beliebte Beispiele

x^2+4y^2-8x+16y+16=0

x^{2} + 4 y^{2} - 8 x + 16 y + 16 = 0

((1))/(x^2+y^2)=1

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

x^{2} - 4 y + y^{2} = 0

((x-0)^2)/(25)+((y-0)^2)/(2.25)=1

\frac{( x - 0 ) ^{2}}{25} + \frac{( y - 0 ) ^{2}}{2.25} = 1

((x-5)^2)/(49)+((y-8)^2)/(11)=1

\frac{( x - 5 ) ^{2}}{49} + \frac{( y - 8 ) ^{2}}{11} = 1