((x-6)^2)/(36)+((y+1)^2)/(25)=1

Lösung

\frac{( x - 6 ) ^{2}}{36} + \frac{( y + 1 ) ^{2}}{25} = 1

(h, k) = (6, - 1), a = 6, b = 5

Schritte zur Lösung

\frac{( x - 6 ) ^{2}}{36} + \frac{( y + 1 ) ^{2}}{25} = 1

Rewrite

\frac{( x - 6 ) ^{2}}{36} + \frac{( y + 1 ) ^{2}}{25} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (6, - 1), a = 6, b = 5

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (6, - 1), a = 6, b = 5

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

9 x^{2} + 4 y^{2} - 18 x + 8 y + 4 = 0

x^{2} + y^{2} + y = 0

3 x^{2} + 5 y^{2} - 12 x + 30 y = - 42

\frac{( x - 1 ) ^{2}}{45} + \frac{( y - 2 ) ^{2}}{20} = 1