What is a^2-b^2=997 ?

The solution to a^2-b^2=997 is Hyperbola with (h,k)=(0,0),a=sqrt(997),b=sqrt(997)

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a^2-b^2=997

a^{2} - b^{2} = 997

(h, k) = (0, 0), a = 997, b = 997

Solution steps

a^{2} - b^{2} = 997

Rewrite

a^{2} - b^{2} = 997

in the form of a standard hyperbola equation

\frac{( a - 0 ) ^{2}}{( 997 ) ^{2}} - \frac{( b - 0 ) ^{2}}{( 997 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 997, b = 997

25 x^{2} - 36 y^{2} = 900

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

x^{2} - y^{2} - 10 x - 10 y - 1 = 0

x^{2} - x - y - 1 = y^{2} - y - x - 3

9 x^{2} = 4 y^{2} - 12

What is a^2-b^2=997 ?
The solution to a^2-b^2=997 is Hyperbola with (h,k)=(0,0),a=sqrt(997),b=sqrt(997)