What is c^2=5^2+a^2 ?

The solution to c^2=5^2+a^2 is Hyperbola with (h,k)=(0,0),a=5,b=5

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c^2=5^2+a^2

c^{2} = 5^{2} + a^{2}

(h, k) = (0, 0), a = 5, b = 5

Solution steps

c^{2} = 5^{2} + a^{2}

Rewrite

c^{2} = 5^{2} + a^{2}

in the form of a standard hyperbola equation

\frac{( c - 0 ) ^{2}}{5 ^{2}} - \frac{( a - 0 ) ^{2}}{5 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 5, b = 5

9 x^{2} - 18 x - 4 y^{2} - 16 y = 43

\frac{y ^{2}}{25} - \frac{x ^{2}}{49} = 1

3 x^{2} - 2 y^{2} + 3 x - 4 y - 12 = 0

\frac{( x - 2 ) ^{2}}{9} - \frac{( y + 1 ) ^{2}}{16} = 1

x^{2} - y^{2} = 96

What is c^2=5^2+a^2 ?
The solution to c^2=5^2+a^2 is Hyperbola with (h,k)=(0,0),a=5,b=5