What is x^2-92y^2=1 ?

The solution to x^2-92y^2=1 is Hyperbola with (h,k)=(0,0),a=1,b= 1/(2sqrt(23))

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x^2-92y^2=1

x^{2} - 92 y^{2} = 1

(h, k) = (0, 0), a = 1, b = \frac{1}{2 23}

Solution steps

x^{2} - 92 y^{2} = 1

Rewrite

x^{2} - 92 y^{2} = 1

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{1 ^{2}} - \frac{( y - 0 ) ^{2}}{( \frac{1}{2 23} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 1, b = \frac{1}{2 23}

6 x^{2} - 8 y^{2} + 12 x - 32 y = 178

\frac{4 ( x + 2 ) ^{2}}{25} - \frac{( y + 3 ) ^{2}}{9} = 1

4 x^{2} - y^{2} - 8 x - 2 y - 13 = 0

\frac{y ^{2}}{2} - \frac{x ^{2}}{\frac{8}{7}} = 1

4 x^{2} - y^{2} - 4 x + 3 y - 26 = 0

What is x^2-92y^2=1 ?
The solution to x^2-92y^2=1 is Hyperbola with (h,k)=(0,0),a=1,b= 1/(2sqrt(23))