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Beliebt Geometry >

(x/2)^2+(y/3)^2=1

Lösung

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

Lösung

(h, k) = (0, 0), a = 2, b = 3

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 2, b = 3

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 3, a = 2

Graph

Beliebte Beispiele

x^2+3y^2-4x-23=0

x^{2} + 3 y^{2} - 4 x - 23 = 0

x^2+2y^2-3x+4y+0.25=0

x^{2} + 2 y^{2} - 3 x + 4 y + 0.25 = 0

2 x^{2} + y^{2} = 225

((x+3)^2)/(36)+((y-1)^2)/(16)=1

\frac{( x + 3 ) ^{2}}{36} + \frac{( y - 1 ) ^{2}}{16} = 1

4 x^{2} + 9 y^{2} = 40