((x-h)^2)/(b^2)+((y-k)^2)/(a^2)=1

Lösung

\frac{( x - h ) ^{2}}{b ^{2}} + \frac{( y - k ) ^{2}}{a ^{2}} = 1

(h, k) = (h, k), a = b, b = a

Schritte zur Lösung

\frac{( x - h ) ^{2}}{b ^{2}} + \frac{( y - k ) ^{2}}{a ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (h, k), a = b, b = a

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (h, k), a = b, b = a

25 x^{(2)} + 9 y^{(2)} + 50 x - 108 y + 124 = 0

x^{2} + 2 z^{2} + 10 x - 16 z + 1 = 0

9 x^{2} + 4 y^{2} - 18 x + 24 y = 36

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

\frac{( x + 2 ) ^{2}}{36} + \frac{( y + 5 ) ^{2}}{9} = 1