((x-1)^2)/9+((y-2)^2)/4 =1

Lösung

\frac{( x - 1 ) ^{2}}{9} + \frac{( y - 2 ) ^{2}}{4} = 1

(h, k) = (1, 2), a = 3, b = 2

Schritte zur Lösung

\frac{( x - 1 ) ^{2}}{9} + \frac{( y - 2 ) ^{2}}{4} = 1

Rewrite

\frac{( x - 1 ) ^{2}}{9} + \frac{( y - 2 ) ^{2}}{4} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (1, 2), a = 3, b = 2

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (1, 2), a = 3, b = 2

25 x^{2} + 12 y^{2} + 20 x - 12 y = 4

9 x^{2} + 4 y^{2} - 18 x + 24 y + 9 = 0

(\frac{( x + 3 )}{16})^{2} + \frac{( y - 5 ) ^{2}}{25} = 1

4 = x^{2} + 9 y^{2}

1 x^{2} + 3 y^{2} + 9 x + 9 y - 12 = 0