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Beliebt Geometry >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

Graph

Beliebte Beispiele

((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

((x+4)^2)/4+((y-1)^2)/9 =1

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

4x^2+2x+y^2-10y=6

4 x^{2} + 2 x + y^{2} - 10 y = 6

36x^2+4y^2-49=0

36 x^{2} + 4 y^{2} - 49 = 0