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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

eccentricity

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

\frac{7}{4}

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}

\frac{x ^{2}}{25} + \frac{y ^{2}}{64} = 1

x^{2} + 9 y^{2} + 16 x + 18 y + 64 = 0

x^{2} + 42 y^{2} = 42

\frac{( x - 4 ) ^{2}}{2} + \frac{( y - 4 ) ^{2}}{3} = 1

\frac{( x + 3 ) ^{2}}{4} + \frac{( y + 1 ) ^{2}}{1} = 1

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