achse (x^2)/(81)+(y^2)/(64)=1

Lösung

achse

\frac{x ^{2}}{81} + \frac{y ^{2}}{64} = 1

semi - major axis a = 9, semi - minor axis b = 8

Schritte zur Lösung

\frac{x ^{2}}{81} + \frac{y ^{2}}{64} = 1

Rewrite

\frac{x ^{2}}{81} + \frac{y ^{2}}{64} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{9 ^{2}} + \frac{( y - 0 ) ^{2}}{8 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 9, b = 8

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 9, b = 8

a x i s 41 x^{2} + 16 y^{2} + 246 x - 192 y + 289 = 0

a x i s \frac{x ^{2}}{25} + \frac{( y + 3 ) ^{2}}{49} = 1

a x i s \frac{( x - 2 ) ^{2}}{25} + \frac{( y + 1 ) ^{2}}{9} = 1

a x i s \frac{x ^{2}}{16} + \frac{y ^{2}}{4} = 1

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