What is X^2-81Y^2=81 ?

The solution to X^2-81Y^2=81 is Hyperbola with (h,k)=(0,0),a=9,b=1

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X^2-81Y^2=81

X^{2} - 81 Y^{2} = 81

(h, k) = (0, 0), a = 9, b = 1

Solution steps

X^{2} - 81 Y^{2} = 81

Rewrite

X^{2} - 81 Y^{2} = 81

in the form of a standard hyperbola equation

\frac{( X - 0 ) ^{2}}{9 ^{2}} - \frac{( Y - 0 ) ^{2}}{1 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 9, b = 1

25 x^{2} - y^{2} - 150 x + 200 = 0

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

x^{2} - 4 y^{2} - 2 x + 16 y - 31 = 0

x^{2} - 64 y^{2} = 64

\frac{36 ( x - 7 ) ^{2} - 64 ( y - 6 ) ^{2}}{2304} = 1

What is X^2-81Y^2=81 ?
The solution to X^2-81Y^2=81 is Hyperbola with (h,k)=(0,0),a=9,b=1