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Beliebt Geometry >

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

Lösung

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

Lösung

(h, k) = (0, 0), a = 1, b = 2

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 1, b = 2

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 2, a = 1

Graph

Beliebte Beispiele

((x+8)^2)/(16)+((y+1)^2)/(81)=1

\frac{( x + 8 ) ^{2}}{16} + \frac{( y + 1 ) ^{2}}{81} = 1

((x-12)^2)/(289)+((y-3)^2)/(64)=1

\frac{( x - 12 ) ^{2}}{289} + \frac{( y - 3 ) ^{2}}{64} = 1

3x^2+6y^2-4x+6y-3=0

3 x^{2} + 6 y^{2} - 4 x + 6 y - 3 = 0

((x+1)^2)/4+((y-3)^2)/9 =1

\frac{( x + 1 ) ^{2}}{4} + \frac{( y - 3 ) ^{2}}{9} = 1

25x^2+16y^2-100x-96y-156=0

25 x^{2} + 16 y^{2} - 100 x - 96 y - 156 = 0