What is -y^2+x^2+26y-26x=-121 ?

The solution to -y^2+x^2+26y-26x=-121 is Hyperbola with (h,k)=(13,13),a=11,b=11

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-y^2+x^2+26y-26x=-121

- y^{2} + x^{2} + 26 y - 26 x = - 121

(h, k) = (13, 13), a = 11, b = 11

Solution steps

- y^{2} + x^{2} + 26 y - 26 x = - 121

Rewrite

- y^{2} + x^{2} + 26 y - 26 x = - 121

in the form of a standard hyperbola equation

\frac{( y - 13 ) ^{2}}{1 1 ^{2}} - \frac{( x - 13 ) ^{2}}{1 1 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (13, 13), a = 11, b = 11

(y + 2)^{2} - 25 (x - 2)^{2} = 25

x, x^{2} - x + 1 - 2 k (x)^{2} + 4 k + 1 = 0

((\frac{( x - 5 ) ( x - 5 )}{y ^{2}})) = \frac{1}{y ^{2}} + 1

- 2 x^{2} + 4 y^{2} - 3 x - 43 y + 44 = 0

9 x^{2} - 36 x - 25 y^{2} = - 261

What is -y^2+x^2+26y-26x=-121 ?
The solution to -y^2+x^2+26y-26x=-121 is Hyperbola with (h,k)=(13,13),a=11,b=11