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Beliebt Geometry >

4x^2+9y^2=2x

Lösung

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

Lösung

(h, k) = (\frac{1}{4}, 0), a = \frac{1}{4}, b = \frac{1}{6}

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

\frac{( x - \frac{1}{4} ) ^{2}}{( \frac{1}{4} ) ^{2}} + \frac{( y - 0 ) ^{2}}{( \frac{1}{6} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (\frac{1}{4}, 0), a = \frac{1}{4}, b = \frac{1}{6}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (\frac{1}{4}, 0), a = \frac{1}{4}, b = \frac{1}{6}

Graph

Beliebte Beispiele

x^{2} + 4 x + 4 y^{2} = 0

2 x^{2} + 4 y^{2} = 18

4 x^{2} + 9 y^{2} = 72

4x^2+y^2-8x+6y+1=0

4 x^{2} + y^{2} - 8 x + 6 y + 1 = 0

9x^2+y^2-54x-8y+88=0

9 x^{2} + y^{2} - 54 x - 8 y + 88 = 0