What is y^2=x^2+169 ?

The solution to y^2=x^2+169 is Hyperbola with (h,k)=(0,0),a=13,b=13

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y^2=x^2+169

y^{2} = x^{2} + 169

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

Solution steps

y^{2} = x^{2} + 169

Rewrite

y^{2} = x^{2} + 169

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{1 3 ^{2}} - \frac{( x - 0 ) ^{2}}{1 3 ^{2}} = 1

Therefore Hyperbola properties are:

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

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

\frac{( y - 4 ) ^{2}}{28} - \frac{( x + 1 ) ^{2}}{21} = 1

\frac{( y + 9 ) ^{2}}{92} - \frac{( x + 8 ) ^{2}}{36} = 17

\frac{x ^{2}}{6} - \frac{y ^{2}}{8} = 1

16 x^{2} - 96 x - 9 y^{2} - 18 y - 9 = 0

What is y^2=x^2+169 ?
The solution to y^2=x^2+169 is Hyperbola with (h,k)=(0,0),a=13,b=13