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

The solution to 9x^2-4y^2-54x-8y+113=0 is Hyperbola with (h,k)=(3,-1),a=3,b=2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

y^{2} + 2 y + x = 0

x^{2} + y^{2} + 8 x - 2 y - 19 = 0

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

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

y^{2} - 4 x = 0

What is 9x^2-4y^2-54x-8y+113=0 ?
The solution to 9x^2-4y^2-54x-8y+113=0 is Hyperbola with (h,k)=(3,-1),a=3,b=2