What is the eccentricity x^2+4y^2-6x+8y+9=0 ?

The eccentricity x^2+4y^2-6x+8y+9=0 is (sqrt(3))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

eccentricity x^2+4y^2-6x+8y+9=0

eccentricity

x^{2} + 4 y^{2} - 6 x + 8 y + 9 = 0

\frac{3}{2}

Solution steps

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

Calculate ellipse properties

x^{2} + 4 y^{2} - 6 x + 8 y + 9 = 0 :

Ellipse with center

(h, k) = (3, - 1), a = 2, b = 1

= \frac{2 ^{2} - 1 ^{2}}{2}

\frac{2 ^{2} - 1 ^{2}}{2} = \frac{3}{2}

= \frac{3}{2}

2 x^{2} + 7 y^{2} = 14

27 x^{2} + 48 y^{2} - 54 x - 192 y - 213 = 0

\frac{x ^{2}}{9} + \frac{y ^{2}}{16} = 1

\frac{x ^{2}}{8 ^{2}} + \frac{y ^{2}}{4 ^{2}} = 1

8 x^{2} + 2 y^{2} = 16

What is the eccentricity x^2+4y^2-6x+8y+9=0 ?
The eccentricity x^2+4y^2-6x+8y+9=0 is (sqrt(3))/2