What is y^2=36^2+x^2 ?

The solution to y^2=36^2+x^2 is Hyperbola with (h,k)=(0,0),a=36,b=36

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y^2=36^2+x^2

y^{2} = 3 6^{2} + x^{2}

(h, k) = (0, 0), a = 36, b = 36

Solution steps

y^{2} = 3 6^{2} + x^{2}

Rewrite

y^{2} = 3 6^{2} + x^{2}

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{3 6 ^{2}} - \frac{( x - 0 ) ^{2}}{3 6 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 36, b = 36

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

x + 2 y (y - x) = 2 x^{2} - 2 x y - x^{2}

\frac{( x - 6 ) ^{2}}{4} - \frac{( y + 7 ) ^{2}}{36} = 1

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

\frac{( y + 3 ) ^{2}}{( 64 )} - \frac{( x - 2 ) ^{(2)}}{( 84 )} = 1

What is y^2=36^2+x^2 ?
The solution to y^2=36^2+x^2 is Hyperbola with (h,k)=(0,0),a=36,b=36