What is 9y^2-x^2+2x+54y+62=0 ?

The solution to 9y^2-x^2+2x+54y+62=0 is Hyperbola with (h,k)=(1,-3),a=sqrt(2),b=3sqrt(2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

9y^2-x^2+2x+54y+62=0

9 y^{2} - x^{2} + 2 x + 54 y + 62 = 0

(h, k) = (1, - 3), a = 2, b = 32

Solution steps

9 y^{2} - x^{2} + 2 x + 54 y + 62 = 0

Rewrite

9 y^{2} - x^{2} + 2 x + 54 y + 62 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (1, - 3), a = 2, b = 32

\frac{( x - 5 ) ^{2}}{4} - \frac{( y + 5 ) ^{2}}{9} = 1

x^{2} - y^{2} + 7 x + 8 y = 5

x^{2} - (y - 3)^{2} = 16

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

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

What is 9y^2-x^2+2x+54y+62=0 ?
The solution to 9y^2-x^2+2x+54y+62=0 is Hyperbola with (h,k)=(1,-3),a=sqrt(2),b=3sqrt(2)