(x^2)/(5.66^2)+(y^2)/(3.59^2)=1

Lösung

\frac{x ^{2}}{5.6 6 ^{2}} + \frac{y ^{2}}{3.5 9 ^{2}} = 1

(h, k) = (0, 0), a = 5.66, b = 3.59

Schritte zur Lösung

\frac{x ^{2}}{5.6 6 ^{2}} + \frac{y ^{2}}{3.5 9 ^{2}} = 1

Rewrite

\frac{x ^{2}}{5.6 6 ^{2}} + \frac{y ^{2}}{3.5 9 ^{2}} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{5.6 6 ^{2}} + \frac{( y - 0 ) ^{2}}{3.5 9 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 5.66, b = 3.59

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 5.66, b = 3.59

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

4 x^{2} + 9 y^{2} + 16 x + 54 y + 61 = 0

4 x^{2} - 16 x + y^{2} + 2 y + 13 = 0

\frac{( x + 3 ) ^{2}}{49} + \frac{( y + 2 ) ^{2}}{21} = 1

3 x^{2} + 2 y^{2} - 16 x + 15 = 0