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Beliebt Geometry >

3x^2+y^2=4

Lösung

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

Lösung

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

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

Graph

Beliebte Beispiele

((x-1)^2}{16}+\frac{(y-0)^2)/9 =1

\frac{( x - 1 ) ^{2}}{16} + \frac{( y - 0 ) ^{2}}{9} = 1

15x^2+16y^2=240

15 x^{2} + 16 y^{2} = 240

4 y^{2} + 9 x^{2} = 36

2x^2+3y^2+12x=10

2 x^{2} + 3 y^{2} + 12 x = 10

((x+3)^2)/(49)+((y-5)^2)/(16)=1

\frac{( x + 3 ) ^{2}}{49} + \frac{( y - 5 ) ^{2}}{16} = 1