What is 9x^2-4y^2+18x-24y+9=0 ?

The solution to 9x^2-4y^2+18x-24y+9=0 is Hyperbola with (h,k)=(-1,-3),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+18x-24y+9=0

9 x^{2} - 4 y^{2} + 18 x - 24 y + 9 = 0

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

Solution steps

9 x^{2} - 4 y^{2} + 18 x - 24 y + 9 = 0

Rewrite

9 x^{2} - 4 y^{2} + 18 x - 24 y + 9 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

x^{2} - y^{2} + 8 x - 2 y + 14 = 0

x^{2} - y^{2} = 5

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

x^{2} - 4 y^{2} - 4 x + 8 y - 16 = 0

6 y^{2} - 4 x^{2} + x 2 + 1 = 0

What is 9x^2-4y^2+18x-24y+9=0 ?
The solution to 9x^2-4y^2+18x-24y+9=0 is Hyperbola with (h,k)=(-1,-3),a=3,b=2