What is a^2-b^2=891 ?

The solution to a^2-b^2=891 is Hyperbola with (h,k)=(0,0),a=9sqrt(11),b=9sqrt(11)

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a^2-b^2=891

a^{2} - b^{2} = 891

(h, k) = (0, 0), a = 911, b = 911

Solution steps

a^{2} - b^{2} = 891

Rewrite

a^{2} - b^{2} = 891

in the form of a standard hyperbola equation

\frac{( a - 0 ) ^{2}}{( 9 11 ) ^{2}} - \frac{( b - 0 ) ^{2}}{( 9 11 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 911, b = 911

\frac{( x + 2 ) ^{2}}{10} - \frac{( y + 4 ) ^{2}}{25} = 1

\frac{( x + 3 ) ^{2}}{4} - \frac{( y - 2 ) ^{2}}{2} = 2

x^{2} - 4 y^{2} + 16 = 0

9 x^{2} - 54 x + 9 - 4 y^{2} - 8 y - 113 = 0

y^{2} = 9 (1 + x^{2})

What is a^2-b^2=891 ?
The solution to a^2-b^2=891 is Hyperbola with (h,k)=(0,0),a=9sqrt(11),b=9sqrt(11)