What is x^2-z^2+24=0 ?

The solution to x^2-z^2+24=0 is Hyperbola with (h,k)=(0,0),a=2sqrt(6),b=2sqrt(6)

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x^2-z^2+24=0

x^{2} - z^{2} + 24 = 0

(h, k) = (0, 0), a = 26, b = 26

Solution steps

x^{2} - z^{2} + 24 = 0

Rewrite

x^{2} - z^{2} + 24 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 26, b = 26

9 x^{2} - 4 y^{2} - 18 x - 16 y - 43 = 0

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

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

9 x^{2} - 16 y^{2} - 108 x + 64 y + 116 = 0

\frac{( y + 3 ) ^{2}}{2} - \frac{( x - 1 ) ^{2}}{18} = 1

What is x^2-z^2+24=0 ?
The solution to x^2-z^2+24=0 is Hyperbola with (h,k)=(0,0),a=2sqrt(6),b=2sqrt(6)