center 135x^2+256y^2-34560=0

Lösung

center

135 x^{2} + 256 y^{2} - 34560 = 0

(0, 0)

Schritte zur Lösung

135 x^{2} + 256 y^{2} - 34560 = 0

Rewrite

135 x^{2} + 256 y^{2} - 34560 = 0

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{1 6 ^{2}} + \frac{( y - 0 ) ^{2}}{( 3 15 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 16, b = 315

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 16, b = 315

And the center is:

(0, 0)

ce n t er 9 x^{2} + 4 y^{2} = 25

ce n t er 9 x^{2} + 25 y^{2} + 108 x - 200 y + 499 = 0

ce n t er 4 x^{2} + 9 y^{2} = 25

ce n t er 3 x^{(2)} + 2 y^{(2)} - 12 x + 8 y + 19 = 0

ce n t er 3 x^{2} + y^{2} + 2 x - 6 y = 3