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Beliebt Geometry >

3x^2+4y^2=1

Lösung

3 x^{2} + 4 y^{2} = 1

Lösung

(h, k) = (0, 0), a = \frac{1}{3}, b = \frac{1}{2}

Schritte zur Lösung

3 x^{2} + 4 y^{2} = 1

Rewrite

3 x^{2} + 4 y^{2} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{1}{3}, 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 = \frac{1}{3}, b = \frac{1}{2}

Graph

Beliebte Beispiele

((x-3)^2)/(16)+((y-1)^2)/(25)=1

\frac{( x - 3 ) ^{2}}{16} + \frac{( y - 1 ) ^{2}}{25} = 1

2 x^{2} - 6 < - 6 y^{2}

(x^2)/(49)+(y^2)/(169)=1

\frac{x ^{2}}{49} + \frac{y ^{2}}{169} = 1

4x^2+24x+25y^2+200y+336=0

4 x^{2} + 24 x + 25 y^{2} + 200 y + 336 = 0

7x^2+16y^2-14x-64y-41=0

7 x^{2} + 16 y^{2} - 14 x - 64 y - 41 = 0