What is x^2-(y^2)/(10)=5 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^2-(y^2)/(10)=5

x^{2} - \frac{y ^{2}}{10} = 5

(h, k) = (0, 0), a = 5, b = 52

Solution steps

x^{2} - \frac{y ^{2}}{10} = 5

Rewrite

x^{2} - \frac{y ^{2}}{10} = 5

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 5, b = 52

5 x^{2} - 3 y^{2} - 20 x - 18 y - 22 = 0

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

- 4 x^{2} + 9 y^{2} - 24 x - 54 y + 81 = 0

4 x^{(2)} - 9 y^{(2)} = 216

\frac{( y + 2 ) ^{2}}{9} - \frac{( x - 3 ) ^{2}}{16} = 1

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