What is y^2=x^2+361 ?

The solution to y^2=x^2+361 is Hyperbola with (h,k)=(0,0),a=19,b=19

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y^2=x^2+361

y^{2} = x^{2} + 361

(h, k) = (0, 0), a = 19, b = 19

Solution steps

y^{2} = x^{2} + 361

Rewrite

y^{2} = x^{2} + 361

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{1 9 ^{2}} - \frac{( x - 0 ) ^{2}}{1 9 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 19, b = 19

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

\frac{( x + 3 ) ^{2}}{49} - \frac{( y - 1 ) ^{2}}{48} = 1

5 x^{2} = 5 y^{2} + 45

- 3 y^{2} - 8 x + 4 x^{2} - 8 = 0

- \frac{y ^{2}}{49} + \frac{x ^{2}}{9} = 1

What is y^2=x^2+361 ?
The solution to y^2=x^2+361 is Hyperbola with (h,k)=(0,0),a=19,b=19