What is 3x^2-4y^2=7 ?

The solution to 3x^2-4y^2=7 is Hyperbola with (h,k)=(0,0),a=sqrt(7/3),b=(sqrt(7))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3x^2-4y^2=7

3 x^{2} - 4 y^{2} = 7

(h, k) = (0, 0), a = \frac{7}{3}, b = \frac{7}{2}

Solution steps

3 x^{2} - 4 y^{2} = 7

Rewrite

3 x^{2} - 4 y^{2} = 7

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( \frac{7}{3} ) ^{2}} - \frac{( y - 0 ) ^{2}}{( \frac{7}{2} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{7}{3}, b = \frac{7}{2}

(4 x - 2 y) (6 x + 3 y) = 18

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

36 x^{2} - 9 y^{2} = 324

\frac{1}{4} (x - 2)^{2} - \frac{1}{16} (y + 7)^{2} = 1

10 x^{(2)} - 25 y^{(2)} = 100

What is 3x^2-4y^2=7 ?
The solution to 3x^2-4y^2=7 is Hyperbola with (h,k)=(0,0),a=sqrt(7/3),b=(sqrt(7))/2