What is -16x^2+y^2+128x+2y-271=0 ?

The solution to -16x^2+y^2+128x+2y-271=0 is Hyperbola with (h,k)=(4,-1),a=4,b=1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

-16x^2+y^2+128x+2y-271=0

- 16 x^{2} + y^{2} + 128 x + 2 y - 271 = 0

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

Solution steps

- 16 x^{2} + y^{2} + 128 x + 2 y - 271 = 0

Rewrite

- 16 x^{2} + y^{2} + 128 x + 2 y - 271 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

x^{2} - 36 y^{2} = 36

x^{2} - 4 y^{2} - 64 = 0

2 x^{2} - y^{2} = 1

9 y^{2} - 16 x^{2} = 1296

\frac{( x - 3 ) ^{2}}{100} - \frac{( y + 4 ) ^{2}}{169} = 1

What is -16x^2+y^2+128x+2y-271=0 ?
The solution to -16x^2+y^2+128x+2y-271=0 is Hyperbola with (h,k)=(4,-1),a=4,b=1