(x^2)/(4900)+(y^2)/(2500)=1

Lösung

\frac{x ^{2}}{4900} + \frac{y ^{2}}{2500} = 1

(h, k) = (0, 0), a = 70, b = 50

Schritte zur Lösung

\frac{x ^{2}}{4900} + \frac{y ^{2}}{2500} = 1

Rewrite

\frac{x ^{2}}{4900} + \frac{y ^{2}}{2500} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{7 0 ^{2}} + \frac{( y - 0 ) ^{2}}{5 0 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 70, b = 50

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 70, b = 50

x^{2} + y^{2} - \frac{21}{8} x + \frac{19}{4} - \frac{525}{8} = 0

25 x^{2} + 16 y^{2} + 200 x + 64 y + 64 = 0

9 x^{(2)} + 16 y^{(2)} - 54 x + 64 y + 1 = 0

\frac{2 y}{1 - x ^{2} - y ^{2}} = 1

- 2 x^{2} + 1 - y^{2} = 0