(x^2)/(64)+((y-6)^2)/(121)=1

Lösung

\frac{x ^{2}}{64} + \frac{( y - 6 ) ^{2}}{121} = 1

(h, k) = (0, 6), a = 8, b = 11

Schritte zur Lösung

\frac{x ^{2}}{64} + \frac{( y - 6 ) ^{2}}{121} = 1

Rewrite

\frac{x ^{2}}{64} + \frac{( y - 6 ) ^{2}}{121} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{8 ^{2}} + \frac{( y - 6 ) ^{2}}{1 1 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 6), a = 8, b = 11

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 6), b = 11, a = 8

\frac{x ^{2}}{49} + \frac{y ^{2}}{40} = 1

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

100 x^{2} + 64 y^{2} - 100 x - 1575 = 0

x^{2} + \frac{y ^{2}}{29} = 1

100 (x^{2} - x) + 16 (y^{2} - 4 y) = 147