Ellipse

Ellipse is expressed by equation 9x2 + 25y2 - 54x - 100y - 44 = 0. Find the length of primary and secondary axes, eccentricity, and coordinates of the ellipse's center.

Correct answer:

o1 =  10
o2 =  6
x0 =  3
y0 =  2
e =  4

Step-by-step explanation:

(axx0)2+(byy0)2=1 (9x254x)+(25y2100y)=44 9 (x26x)+25(y24y)=44  x26x+9 = (x3)2 y24y+4 = (y2)2  9 (x26x+9)+25(y24y+4)=44+9 9+4 25  9 (x3)2+25 (y2)2=225 2259 (x3)2+22525 (y2)2=1  a=9225=5 b=25225=3  o1=2 a=2 5=10
o2=2 b=2 3=6
x0=3
y0=2
e=a2b2=5232=4



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