What is the eccentricity x^2-4y^2-4x+8y-16=0 ?

The eccentricity x^2-4y^2-4x+8y-16=0 is (sqrt(5))/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^2-4x+8y-16=0

eccentricity

x^{2} - 4 y^{2} - 4 x + 8 y - 16 = 0

\frac{5}{2}

Solution steps

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

Calculate Hyperbola properties

x^{2} - 4 y^{2} - 4 x + 8 y - 16 = 0 :

Right-left Hyperbola with

(h, k) = (2, 1), a = 4, b = 2

= \frac{4 ^{2} + 2 ^{2}}{4}

Refine

= \frac{5}{2}

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

\frac{x ^{2}}{9} - \frac{y ^{2}}{4} = 1

x^{2} - y^{2} = 25

\frac{x ^{2}}{45} - \frac{y ^{2}}{216} = 1

16 x^{2} - 9 y^{2} - 64 x - 18 y + 199 = 0

What is the eccentricity x^2-4y^2-4x+8y-16=0 ?
The eccentricity x^2-4y^2-4x+8y-16=0 is (sqrt(5))/2