What is -x^2+y^2=51 ?

The solution to -x^2+y^2=51 is Hyperbola with (h,k)=(0,0),a=sqrt(51),b=sqrt(51)

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-x^2+y^2=51

- x^{2} + y^{2} = 51

(h, k) = (0, 0), a = 51, b = 51

Solution steps

- x^{2} + y^{2} = 51

Rewrite

- x^{2} + y^{2} = 51

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{( 51 ) ^{2}} - \frac{( x - 0 ) ^{2}}{( 51 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 51, b = 51

y^{2} + 3 = x^{2}

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

\frac{( x - 1 ) ^{2}}{4} - \frac{( y + 2 ) ^{2}}{16} = 1

\frac{( x ^{(2)} )}{( 144 )} - \frac{( y ^{(2)} )}{( 81 )} = 1

9 x^{(2)} - 4 y^{(2)} + 18 x - 27 = 0

What is -x^2+y^2=51 ?
The solution to -x^2+y^2=51 is Hyperbola with (h,k)=(0,0),a=sqrt(51),b=sqrt(51)