What is 4y^2-9x^2=1 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4y^2-9x^2=1

4 y^{2} - 9 x^{2} = 1

(h, k) = (0, 0), a = \frac{1}{2}, b = \frac{1}{3}

Solution steps

4 y^{2} - 9 x^{2} = 1

Rewrite

4 y^{2} - 9 x^{2} = 1

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{1}{2}, b = \frac{1}{3}

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

y^{2} - 5 x^{2} + 20 x = 50

\frac{( y + 2 ) ^{2}}{9} - \frac{( x + 4 ) ^{2}}{40} = 1

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

2 x^{2} - 3 y^{2} < 1

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