What is x^2-y^2+x-y-44=0 ?

The solution to x^2-y^2+x-y-44=0 is Hyperbola with (h,k)=(-1/2 ,-1/2),a=2sqrt(11),b=2sqrt(11)

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x^2-y^2+x-y-44=0

x^{2} - y^{2} + x - y - 44 = 0

(h, k) = (- \frac{1}{2}, - \frac{1}{2}), a = 211, b = 211

Solution steps

x^{2} - y^{2} + x - y - 44 = 0

Rewrite

x^{2} - y^{2} + x - y - 44 = 0

in the form of a standard hyperbola equation

\frac{( x - ( - \frac{1}{2} ) ) ^{2}}{( 2 11 ) ^{2}} - \frac{( y - ( - \frac{1}{2} ) ) ^{2}}{( 2 11 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- \frac{1}{2}, - \frac{1}{2}), a = 211, b = 211

4 x^{2} - 25 y^{2} + 24 x + 100 y + 36 = 0

16 x^{2} - 4 y^{2} = 49

16 x^{2} - 9 y^{2} - 36 y = 108

x^{2} + y^{2} - 8 x^{2} + 7 = 0

16 x^{2} - 4 y^{2} = 64

What is x^2-y^2+x-y-44=0 ?
The solution to x^2-y^2+x-y-44=0 is Hyperbola with (h,k)=(-1/2 ,-1/2),a=2sqrt(11),b=2sqrt(11)