center 49x^2+625y^2=30625

Lösung

center

49 x^{2} + 625 y^{2} = 30625

(0, 0)

Schritte zur Lösung

49 x^{2} + 625 y^{2} = 30625

Rewrite

49 x^{2} + 625 y^{2} = 30625

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 25, b = 7

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 25, b = 7

And the center is:

(0, 0)

ce n t er x^{2} + 3 y^{2} + 2 x - 12 y + 10 = 0

ce n t er \frac{( x + 2 ) ^{2}}{81} + \frac{y ^{2}}{36} = 1

ce n t er 25 x^{2} + 16 y^{2} < 400

ce n t er 9 x^{2} + 49 y^{2} + 18 x + 294 y - 9 = 0

ce n t er \frac{( x - 3 ) ^{2}}{9} + \frac{( y - 1 ) ^{2}}{25} = 1