What is the eccentricity 16y^2-32y-9x^2-18x=137 ?

The eccentricity 16y^2-32y-9x^2-18x=137 is 5/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

eccentricity 16y^2-32y-9x^2-18x=137

eccentricity

16 y^{2} - 32 y - 9 x^{2} - 18 x = 137

\frac{5}{3}

Solution steps

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

Calculate Hyperbola properties

16 y^{2} - 32 y - 9 x^{2} - 18 x = 137 :

Up-down Hyperbola with

(h, k) = (- 1, 1), a = 3, b = 4

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

Refine

= \frac{5}{3}

\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1

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

3 x^{2} - 4 y^{2} = 12

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

\frac{x ^{2}}{36} - \frac{y ^{2}}{4} = 1

What is the eccentricity 16y^2-32y-9x^2-18x=137 ?
The eccentricity 16y^2-32y-9x^2-18x=137 is 5/3