What is the eccentricity 16x^2+9y^2+160x-72y+544=144 ?

The eccentricity 16x^2+9y^2+160x-72y+544=144 is (sqrt(7))/4

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eccentricity 16x^2+9y^2+160x-72y+544=144

eccentricity

\frac{7}{4}

Decimal

0.66143 \dots

Solution steps

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

Calculate ellipse properties

16 x^{2} + 9 y^{2} + 160 x - 72 y + 544 = 144 :

Ellipse with center

(h, k) = (- 5, 4), b = 4, a = 3

= \frac{4 ^{2} - 3 ^{2}}{4}

\frac{4 ^{2} - 3 ^{2}}{4} = \frac{7}{4}

= \frac{7}{4}

What is the eccentricity 16x^2+9y^2+160x-72y+544=144 ?
The eccentricity 16x^2+9y^2+160x-72y+544=144 is (sqrt(7))/4