What is 4x^2-3y^2-8x-8=0 ?

The solution to 4x^2-3y^2-8x-8=0 is Hyperbola with (h,k)=(1,0),a=sqrt(3),b=2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4x^2-3y^2-8x-8=0

4 x^{2} - 3 y^{2} - 8 x - 8 = 0

(h, k) = (1, 0), a = 3, b = 2

Solution steps

4 x^{2} - 3 y^{2} - 8 x - 8 = 0

Rewrite

4 x^{2} - 3 y^{2} - 8 x - 8 = 0

in the form of a standard hyperbola equation

\frac{( x - 1 ) ^{2}}{( 3 ) ^{2}} - \frac{( y - 0 ) ^{2}}{2 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (1, 0), a = 3, b = 2

9 x^{2} - 16 y^{2} - 126 x + 160 y - 103 = 0

4 x^{2} - 25 y^{2} - 4 x + 10 y - 100 = 0

4 x^{2} + 16 x - 9 y^{2} + 18 y - 29 = 0

2 x^{2} - 4 y^{2} = 16

y^{2} - x^{2} = 3

What is 4x^2-3y^2-8x-8=0 ?
The solution to 4x^2-3y^2-8x-8=0 is Hyperbola with (h,k)=(1,0),a=sqrt(3),b=2