What is 10^2+x^2=y^2 ?

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

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10^2+x^2=y^2

1 0^{2} + x^{2} = y^{2}

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

Solution steps

1 0^{2} + x^{2} = y^{2}

Rewrite

1 0^{2} + x^{2} = y^{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

8 y^{2} - x^{2} - 16 y + 8 x - 16 = 0

9 x^{2} + 36 x - 4 y^{2} - 16 y - 16 = 0

x^{(2)} - y^{(2)} = 10 (x - y) + 1

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

7 y^{2} - 14 x^{2} = 98

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