100y^2+64x^2=6400

Lösung

100 y^{2} + 64 x^{2} = 6400

(h, k) = (0, 0), a = 10, b = 8

Schritte zur Lösung

100 y^{2} + 64 x^{2} = 6400

Rewrite

100 y^{2} + 64 x^{2} = 6400

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 10, b = 8

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 10, b = 8

6.25 x^{2} + 16 y^{2} - 1.25 x + 64 y - 29.75 = 0

\frac{( x - 1 ) ^{2}}{4} + \frac{( y - 5 ) ^{2}}{25} = 1

16 x^{2} + 25 y^{2} - 128 x + 100 y = 0

\frac{( ( x + 0 ) ^{2} )}{40} + \frac{( ( y + 0 ) ^{2} )}{32} = 1

\frac{( x - 5 ) ^{2}}{16} + \frac{( y + 15 ) ^{2}}{25} = 1