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Beliebt Geometry >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Rewrite

2 x^{2} + 2 y^{2} - 8 y = 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

6x^2+9y^2+54y=60x-87

6 x^{2} + 9 y^{2} + 54 y = 60 x - 87

16x^2+16y^2=1+2x+x^2

16 x^{2} + 16 y^{2} = 1 + 2 x + x^{2}

9x^2+25y^2+36x+150y+36=0

9 x^{2} + 25 y^{2} + 36 x + 150 y + 36 = 0

16x^2+25y^2-224x-150y+1009=400

16 x^{2} + 25 y^{2} - 224 x - 150 y + 1009 = 400

((x-2)^2)/4+((y+2)^2)/8 =1

\frac{( x - 2 ) ^{2}}{4} + \frac{( y + 2 ) ^{2}}{8} = 1