((x-0)^2)/(36)+((y-0)^2)/(20)=1

Lösung

\frac{( x - 0 ) ^{2}}{36} + \frac{( y - 0 ) ^{2}}{20} = 1

(h, k) = (0, 0), a = 6, b = 25

Schritte zur Lösung

\frac{( x - 0 ) ^{2}}{36} + \frac{( y - 0 ) ^{2}}{20} = 1

Rewrite

\frac{( x - 0 ) ^{2}}{36} + \frac{( y - 0 ) ^{2}}{20} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{6 ^{2}} + \frac{( y - 0 ) ^{2}}{( 2 5 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 6, b = 25

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 6, b = 25

49 x^{2} + 4 y^{2} - 196 = 0

\frac{( x - 5 ) ^{2}}{25} + \frac{( y - 1 ) ^{2}}{16} = 1

(2 x - y) (3 x - y) = 6 x 2 - 5 x y + y 2

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

9 x^{2} + 81 y^{2} - 729 = 0