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Beliebt Geometry >

5x^2+4y^2=1

Lösung

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

Lösung

(h, k) = (0, 0), a = \frac{1}{5}, b = \frac{1}{2}

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{1}{5} ) ^{2}} + \frac{( y - 0 ) ^{2}}{( \frac{1}{2} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{1}{5}, 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}{5}

Graph

Beliebte Beispiele

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

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

5x^2+9y^2-30x=0

5 x^{2} + 9 y^{2} - 30 x = 0

((x+5)^2)/(97)+((y+2)^2)/(36)=1

\frac{( x + 5 ) ^{2}}{97} + \frac{( y + 2 ) ^{2}}{36} = 1

x^{2} + 3 (y^{2}) = 84