What is x^2-1y^2=13 ?

The solution to x^2-1y^2=13 is Hyperbola with (h,k)=(0,0),a=sqrt(13),b=sqrt(13)

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x^2-1y^2=13

x^{2} - 1 y^{2} = 13

(h, k) = (0, 0), a = 13, b = 13

Solution steps

x^{2} - 1 \cdot y^{2} = 13

Rewrite

x^{2} - 1 y^{2} = 13

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( 13 ) ^{2}} - \frac{( y - 0 ) ^{2}}{( 13 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 13, b = 13

- 9 x^{2} + 36 x + 4 y^{2} - 24 y = 63

3 x^{2} - 4 y^{2} + 3 - 6 x + 16 y - 18 = 0

\frac{y ^{2}}{625} - \frac{x ^{2}}{2500} = 1

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

- x^{2} + 2 x + 4 y^{2} + 24 y + 31 = 0

What is x^2-1y^2=13 ?
The solution to x^2-1y^2=13 is Hyperbola with (h,k)=(0,0),a=sqrt(13),b=sqrt(13)