What is y^2=8^2+x^2 ?

The solution to y^2=8^2+x^2 is Hyperbola with (h,k)=(0,0),a=8,b=8

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y^2=8^2+x^2

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

(h, k) = (0, 0), a = 8, b = 8

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{8 ^{2}} - \frac{( x - 0 ) ^{2}}{8 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 8, b = 8

a^{2} - b^{2} = - 5

\frac{( x - 4 ) ^{2}}{4} - \frac{( y + 1 ) ^{2}}{9} = 1

- 4 y^{2} + 9 x^{2} - 27 x - 16 y = 24

3 x^{2} - y^{2} - 18 x + 4 y + 20 = 0

- 9 x^{2} - 36 x + 16 y^{2} - 32 y - 164 = 0

What is y^2=8^2+x^2 ?
The solution to y^2=8^2+x^2 is Hyperbola with (h,k)=(0,0),a=8,b=8