(x^2)/5+(y^2)/8 =1

Lösung

\frac{x ^{2}}{5} + \frac{y ^{2}}{8} = 1

(h, k) = (0, 0), a = 5, b = 22

Schritte zur Lösung

\frac{x ^{2}}{5} + \frac{y ^{2}}{8} = 1

Rewrite

\frac{x ^{2}}{5} + \frac{y ^{2}}{8} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 5, b = 22

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 22, a = 5

4 X^{2} + 9 Y^{2} - 32 X - 36 Y + 64 = 0

\frac{( x - 1 ) ^{2}}{25} + \frac{( y + 3 ) ^{2}}{100} = 1

\frac{x ^{2}}{1} + \frac{y ^{2}}{4} = 1

\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} \leq 1

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