What is the eccentricity 9x^2+25y^2-36x-50y+60=0 ?

The eccentricity 9x^2+25y^2-36x-50y+60=0 is 4/5

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eccentricity 9x^2+25y^2-36x-50y+60=0

eccentricity

9 x^{2} + 25 y^{2} - 36 x - 50 y + 60 = 0

\frac{4}{5}

Solution steps

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

Calculate ellipse properties

9 x^{2} + 25 y^{2} - 36 x - 50 y + 60 = 0 :

Ellipse with center

(h, k) = (2, 1), a = \frac{1}{3}, b = \frac{1}{5}

= \frac{( \frac{1}{3} ) ^{2} - ( \frac{1}{5} ) ^{2}}{\frac{1}{3}}

\frac{( \frac{1}{3} ) ^{2} - ( \frac{1}{5} ) ^{2}}{\frac{1}{3}} = \frac{4}{5}

= \frac{4}{5}

81 x^{2} - 1296 x + 16 y^{2} + 64 y = - 3952

3 x^{2} + y^{2} - 24 x + 39 = 0

9 x^{2} + 16 y^{2} = 144

4 x^{2} + y^{2} + 8 x - 4 y + 4 = 0

4 x^{2} - 16 x + 3 y^{2} + 24 y + 52 = 0

What is the eccentricity 9x^2+25y^2-36x-50y+60=0 ?
The eccentricity 9x^2+25y^2-36x-50y+60=0 is 4/5