What is 4x^2-9y^2-11=0 ?

The solution to 4x^2-9y^2-11=0 is Hyperbola with (h,k)=(0,0),a=(sqrt(11))/2 ,b=(sqrt(11))/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4x^2-9y^2-11=0

4 x^{2} - 9 y^{2} - 11 = 0

(h, k) = (0, 0), a = \frac{11}{2}, b = \frac{11}{3}

Solution steps

4 x^{2} - 9 y^{2} - 11 = 0

Rewrite

4 x^{2} - 9 y^{2} - 11 = 0

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( \frac{11}{2} ) ^{2}} - \frac{( y - 0 ) ^{2}}{( \frac{11}{3} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{11}{2}, b = \frac{11}{3}

4 x^{2} - \frac{1}{2} y^{2} + 8 x + 2 y - 2 = 0

\frac{3}{2} (v - \frac{3}{2})^{2} - \frac{1}{2} (u + \frac{3}{2})^{2} = 6

2 x^{2} - 5 y^{2} = 13

\frac{( x - 2 ) ^{2}}{9} - \frac{( y + 3 ) ^{2}}{27} = 1

9 x^{2} - 4 y^{2} - 36 x = 0

What is 4x^2-9y^2-11=0 ?
The solution to 4x^2-9y^2-11=0 is Hyperbola with (h,k)=(0,0),a=(sqrt(11))/2 ,b=(sqrt(11))/3