What is x^2-5y^2=3y ?

The solution to x^2-5y^2=3y is Hyperbola with (h,k)=(0,-3/10),a= 3/10 ,b= 3/(2sqrt(5))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^2-5y^2=3y

x^{2} - 5 y^{2} = 3 y

(h, k) = (0, - \frac{3}{10}), a = \frac{3}{10}, b = \frac{3}{2 5}

Solution steps

x^{2} - 5 y^{2} = 3 y

Rewrite

x^{2} - 5 y^{2} = 3 y

in the form of a standard hyperbola equation

\frac{( y - ( - \frac{3}{10} ) ) ^{2}}{( \frac{3}{10} ) ^{2}} - \frac{( x - 0 ) ^{2}}{( \frac{3}{2 5} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, - \frac{3}{10}), a = \frac{3}{10}, b = \frac{3}{2 5}

\frac{y ^{2}}{81} - \frac{x ^{2}}{25} = 1

x^{2} - 3 y^{2} + 2 x + 6 y - 1 = 0

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

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

\frac{( y + 10 ) ^{2}}{36} - \frac{( x - 3 ) ^{2}}{100} = 1

What is x^2-5y^2=3y ?
The solution to x^2-5y^2=3y is Hyperbola with (h,k)=(0,-3/10),a= 3/10 ,b= 3/(2sqrt(5))