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Beliebt Geometry >

2=(x^2)/4+(y^2)/9

Lösung

2 = \frac{x ^{2}}{4} + \frac{y ^{2}}{9}

Lösung

(h, k) = (0, 0), a = 22, b = 32

Schritte zur Lösung

2 = \frac{x ^{2}}{4} + \frac{y ^{2}}{9}

Rewrite

2 = \frac{x ^{2}}{4} + \frac{y ^{2}}{9}

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 22, b = 32

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 32, a = 22

Graph

Beliebte Beispiele

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

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

3x^2+2y^2+2x-3y-7=0

3 x^{2} + 2 y^{2} + 2 x - 3 y - 7 = 0

x^2+2x+4y^2-8y+1=0

x^{2} + 2 x + 4 y^{2} - 8 y + 1 = 0

25x^2+4y^2-8y-50x=71

25 x^{2} + 4 y^{2} - 8 y - 50 x = 71

12x^2+16y^2=192

12 x^{2} + 16 y^{2} = 192