What is a^2-b^2=396 ?

The solution to a^2-b^2=396 is Hyperbola with (h,k)=(0,0),a=6sqrt(11),b=6sqrt(11)

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a^2-b^2=396

a^{2} - b^{2} = 396

(h, k) = (0, 0), a = 611, b = 611

Solution steps

a^{2} - b^{2} = 396

Rewrite

a^{2} - b^{2} = 396

in the form of a standard hyperbola equation

\frac{( a - 0 ) ^{2}}{( 6 11 ) ^{2}} - \frac{( b - 0 ) ^{2}}{( 6 11 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 611, b = 611

\frac{x ^{2}}{140} - \frac{( y - 6 ) ^{2}}{4} = - 1

\frac{( x - 27 ) ^{2}}{9} - \frac{( y - 4 ) ^{2}}{25} = 1

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

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

4 x^{2} - 8 x - 3 y^{2} - 8 = 0

What is a^2-b^2=396 ?
The solution to a^2-b^2=396 is Hyperbola with (h,k)=(0,0),a=6sqrt(11),b=6sqrt(11)