What is y^2=100+x^2 ?

The solution to y^2=100+x^2 is Hyperbola with (h,k)=(0,0),a=10,b=10

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y^2=100+x^2

y^{2} = 100 + x^{2}

(h, k) = (0, 0), a = 10, b = 10

Solution steps

y^{2} = 100 + x^{2}

Rewrite

y^{2} = 100 + x^{2}

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 10, b = 10

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

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

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

\frac{1}{144} x^{2} - \frac{1}{196} y^{2} = 1

\frac{x ^{2}}{5 0 ^{2}} - \frac{y ^{2}}{2 5 ^{2}} = 1

What is y^2=100+x^2 ?
The solution to y^2=100+x^2 is Hyperbola with (h,k)=(0,0),a=10,b=10