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Beliebt Geometry >

16x^2+4y^2=1

Lösung

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

Lösung

(h, k) = (0, 0), a = \frac{1}{4}, b = \frac{1}{2}

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{1}{4}, b = \frac{1}{2}

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = \frac{1}{2}, a = \frac{1}{4}

Graph

Beliebte Beispiele

x^2+6y^2+14x-24y+49=0

x^{2} + 6 y^{2} + 14 x - 24 y + 49 = 0

4x^2+9y^2+16x-18y-11=0

4 x^{2} + 9 y^{2} + 16 x - 18 y - 11 = 0

- y^{2} - x^{2} = 1

1/9 x^2+1/16 y^2=1

\frac{1}{9} x^{2} + \frac{1}{16} y^{2} = 1

4(x-2)^2+9(y-3)^2=36

4 (x - 2)^{2} + 9 (y - 3)^{2} = 36