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Beliebt Geometry >

3=x^2+4y^2

Lösung

3 = x^{2} + 4 y^{2}

Lösung

(h, k) = (0, 0), a = 3, b = \frac{3}{2}

Schritte zur Lösung

3 = x^{2} + 4 y^{2}

Rewrite

3 = x^{2} + 4 y^{2}

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 3 ) ^{2}} + \frac{( y - 0 ) ^{2}}{( \frac{3}{2} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 3, b = \frac{3}{2}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 3, b = \frac{3}{2}

Graph

Beliebte Beispiele

(x^2)/(2.48^2)+(y^2)/(2.75^2)=1

\frac{x ^{2}}{2.4 8 ^{2}} + \frac{y ^{2}}{2.7 5 ^{2}} = 1

x^2+4y^2-16y-1=-1

x^{2} + 4 y^{2} - 16 y - 1 = - 1

3 x^{2} + 5 y^{2} - 1 = 0

x^{(2)}+4y^{(2)}-10x-40y+109=0

x^{(2)} + 4 y^{(2)} - 10 x - 40 y + 109 = 0

x^{2} + y^{2} + 6 y < 0