What is the eccentricity 9x^2-4y^2-54x-8y+113=0 ?

The eccentricity 9x^2-4y^2-54x-8y+113=0 is (sqrt(13))/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

eccentricity 9x^2-4y^2-54x-8y+113=0

eccentricity

9 x^{2} - 4 y^{2} - 54 x - 8 y + 113 = 0

\frac{13}{3}

Solution steps

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

Calculate Hyperbola properties

9 x^{2} - 4 y^{2} - 54 x - 8 y + 113 = 0 :

Up-down Hyperbola with

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

= \frac{3 ^{2} + 2 ^{2}}{3}

Refine

= \frac{13}{3}

\frac{x ^{2}}{49} - \frac{y ^{2}}{4} = 1

9 \cdot x^{2} - 9 \cdot y^{2} = 9

9 x^{2} - 4 y^{2} - 90 x - 32 y = - 305

2 y^{2} - 4 x^{2} = 1

\frac{x ^{2}}{27} - \frac{y ^{2}}{72} = 1

What is the eccentricity 9x^2-4y^2-54x-8y+113=0 ?
The eccentricity 9x^2-4y^2-54x-8y+113=0 is (sqrt(13))/3