y^2=(4-x^2)/5

Lösung

y^{2} = \frac{4 - x ^{2}}{5}

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

Schritte zur Lösung

y^{2} = \frac{4 - x ^{2}}{5}

Rewrite

y^{2} - \frac{4 - x ^{2}}{5} = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 2, b = \frac{2}{5}

490 x^{(2)} + 10 y^{(2)} + 808 x - 556 y + 40 = 0

\frac{x ^{2}}{2.3 2 ^{2}} + \frac{y ^{2}}{2.8 2 ^{2}} = 1

- 8 y^{2} + 72 = 9 x^{2}

\frac{( x + 3 ) ^{2}}{36} + \frac{( y - 4 ) ^{2}}{16} = 1

10 - \frac{x ^{2}}{2} - y^{2} = x^{2} + 4 y^{2}