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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2x^2-4y^2=3

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

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

3 y^{2} - 2 x^{2} - x + 5 y - 15 = 0

4 x^{2} - 9 y^{2} - 8 x - 36 y - 68 = 0

3 x^{2} - 5 y^{2} + 6 x + 10 y = 32

a^{2} - b^{2} = 12

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