What is 9x^2-16y^2-54x-64y+1=0 ?

The solution to 9x^2-16y^2-54x-64y+1=0 is Hyperbola with (h,k)=(3,-2),a= 4/3 ,b=1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

9x^2-16y^2-54x-64y+1=0

9 x^{2} - 16 y^{2} - 54 x - 64 y + 1 = 0

(h, k) = (3, - 2), a = \frac{4}{3}, b = 1

Solution steps

9 x^{2} - 16 y^{2} - 54 x - 64 y + 1 = 0

Rewrite

9 x^{2} - 16 y^{2} - 54 x - 64 y + 1 = 0

in the form of a standard hyperbola equation

\frac{( x - 3 ) ^{2}}{( \frac{4}{3} ) ^{2}} - \frac{( y - ( - 2 ) ) ^{2}}{1 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (3, - 2), a = \frac{4}{3}, b = 1

x^{2} - 4 y^{2} - 4 x + 24 y + 37 = 0

6 x^{2} - y^{2} - 12 x - 6 y + 5 = 0

4 a 2 - 9 b 2 = (2 a 2 + 3 b 2) (2 a 2 - 3 b 2)

25 x^{2} - 9 y^{2} + 50 x - 36 y - 236 = 0

\frac{( x + 1 ) ^{2}}{16} - \frac{( y - 2 ) ^{2}}{9} = 1

What is 9x^2-16y^2-54x-64y+1=0 ?
The solution to 9x^2-16y^2-54x-64y+1=0 is Hyperbola with (h,k)=(3,-2),a= 4/3 ,b=1