What is the eccentricity 49x^2-98x+64y^2+256y-2831=0 ?

The eccentricity 49x^2-98x+64y^2+256y-2831=0 is (sqrt(15))/8

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eccentricity 49x^2-98x+64y^2+256y-2831=0

eccentricity

49 x^{2} - 98 x + 64 y^{2} + 256 y - 2831 = 0

\frac{15}{8}

Solution steps

= \frac{a ^{2} - b ^{2}}{a}

Calculate ellipse properties

49 x^{2} - 98 x + 64 y^{2} + 256 y - 2831 = 0 :

Ellipse with center

(h, k) = (1, - 2), a = 8, b = 7

= \frac{8 ^{2} - 7 ^{2}}{8}

\frac{8 ^{2} - 7 ^{2}}{8} = \frac{15}{8}

= \frac{15}{8}

\frac{( x ^{2} )}{16} + \frac{( y ^{2} )}{25} = 1

\frac{x ^{2}}{36} + \frac{y ^{2}}{11} = 1

4 x^{2} + 32 x + 25 y^{2} - 250 y + 589 = 0

\frac{x ^{2}}{9} + \frac{( y + 5 ) ^{2}}{25} = 1

4 y^{2} + 9 x^{2} = 36

What is the eccentricity 49x^2-98x+64y^2+256y-2831=0 ?
The eccentricity 49x^2-98x+64y^2+256y-2831=0 is (sqrt(15))/8