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Beliebt Geometry >

x^2+2y^2=1

Lösung

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

Lösung

(h, k) = (0, 0), a = 1, b = \frac{1}{2}

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 1, b = \frac{1}{2}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 1, b = \frac{1}{2}

Graph

Beliebte Beispiele

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

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

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

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

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

9x^2+5y^2+18x+10y-31=0

9 x^{2} + 5 y^{2} + 18 x + 10 y - 31 = 0

x^2+5y^2+10y+4x-27=0

x^{2} + 5 y^{2} + 10 y + 4 x - 27 = 0