What is 9y^2-16x^2+18y+64x-199=0 ?

The solution to 9y^2-16x^2+18y+64x-199=0 is Hyperbola with (h,k)=(2,-1),a=4,b=3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

9y^2-16x^2+18y+64x-199=0

9 y^{2} - 16 x^{2} + 18 y + 64 x - 199 = 0

(h, k) = (2, - 1), a = 4, b = 3

Solution steps

9 y^{2} - 16 x^{2} + 18 y + 64 x - 199 = 0

Rewrite

9 y^{2} - 16 x^{2} + 18 y + 64 x - 199 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (2, - 1), a = 4, b = 3

- 8 x^{2} + y^{2} - 32 x - 16 y = - 16

\frac{1}{2} y^{2} = 2 x^{2} - 0.02

y^{2} - 6 x^{2} + 60 x + 2 y = 173

4 (x - 2)^{2} - (y - 1)^{2} = 63

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

What is 9y^2-16x^2+18y+64x-199=0 ?
The solution to 9y^2-16x^2+18y+64x-199=0 is Hyperbola with (h,k)=(2,-1),a=4,b=3