What is y^2=x^2+196 ?

The solution to y^2=x^2+196 is Hyperbola with (h,k)=(0,0),a=14,b=14

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y^2=x^2+196

y^{2} = x^{2} + 196

(h, k) = (0, 0), a = 14, b = 14

Solution steps

y^{2} = x^{2} + 196

Rewrite

y^{2} = x^{2} + 196

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{1 4 ^{2}} - \frac{( x - 0 ) ^{2}}{1 4 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 14, b = 14

4 x^{2} - 25 y^{2} = 100

(x - 2)^{2} - (y - 1)^{2} = 9

25 x^{2} + 10918 x - 25 y^{2} - 29 y = 2321

100 x^{2} + 112952 x - 100 y^{2} - 106 y = 48838

\frac{( x + 2 ) ^{2}}{25} - \frac{( y - 1 ) ^{2}}{144} = 1

What is y^2=x^2+196 ?
The solution to y^2=x^2+196 is Hyperbola with (h,k)=(0,0),a=14,b=14