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

y^{2} - 9 x^{2} - 8 y - 54 x - 81 = 0

4 x^{2} - 12 y^{2} - 24 x + 24 y + 51 = 0

y = \frac{273 x}{340 y} x + \frac{240000}{340}

\frac{y ^{2}}{4} - \frac{x ^{2}}{12} = 1

4 (x + 5)^{2} - 4 y^{2} = 20

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