What is x^{(2)}-2y^{(2)}=8 ?

The solution to x^{(2)}-2y^{(2)}=8 is Hyperbola with (h,k)=(0,0),a=2sqrt(2),b=2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{(2)}-2y^{(2)}=8

x^{(2)} - 2 y^{(2)} = 8

(h, k) = (0, 0), a = 22, b = 2

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 22, b = 2

a^{2} - b^{2} = 21

a^{2} - b^{2} = 16

\frac{y}{3} = \frac{x ^{2}}{2 + y}

5 y^{2} - 4 x^{2} - 20 = 0

\frac{x ^{2}}{81} - \frac{y ^{2}}{49} = 1

What is x^{(2)}-2y^{(2)}=8 ?
The solution to x^{(2)}-2y^{(2)}=8 is Hyperbola with (h,k)=(0,0),a=2sqrt(2),b=2