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

The solution to 4x^{(2)}-9y^{(2)}=216 is Hyperbola with (h,k)=(0,0),a=3sqrt(6),b=2sqrt(6)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

(h, k) = (0, 0), a = 36, b = 26

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( 3 6 ) ^{2}} - \frac{( y - 0 ) ^{2}}{( 2 6 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 36, b = 26

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

f (x) \cdot f (x) = 2 x^{2} - x - 10

\frac{y ^{2}}{100} - \frac{( x - 2 ) ^{2}}{64} = 1

\frac{x ^{2}}{16} - \frac{( y + 6 ) ^{2}}{9} = 1

\frac{- ( x - 5 ) ^{2}}{16} + \frac{( y + 7 ) ^{2}}{9} = 1

What is 4x^{(2)}-9y^{(2)}=216 ?
The solution to 4x^{(2)}-9y^{(2)}=216 is Hyperbola with (h,k)=(0,0),a=3sqrt(6),b=2sqrt(6)