center ((x-7)^2)/(25)+((y-6)^2)/(39)=1

Lösung

center

\frac{( x - 7 ) ^{2}}{25} + \frac{( y - 6 ) ^{2}}{39} = 1

(7, 6)

Schritte zur Lösung

\frac{( x - 7 ) ^{2}}{25} + \frac{( y - 6 ) ^{2}}{39} = 1

Rewrite

\frac{( x - 7 ) ^{2}}{25} + \frac{( y - 6 ) ^{2}}{39} = 1

in the form of the standard ellipse equation

\frac{( x - 7 ) ^{2}}{5 ^{2}} + \frac{( y - 6 ) ^{2}}{( 39 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (7, 6), a = 5, b = 39

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (7, 6), b = 39, a = 5

And the center is:

(7, 6)

ce n t er \frac{( x - 1 ) ^{2}}{100} + \frac{( y - 2 ) ^{2}}{36} = 1

ce n t er 4 x^{2} + 5 y^{2} - 2 x + 78 y - 83 = x - 3 y + 3

ce n t er 135 x^{2} + 256 y^{2} - 34560 = 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