What is 36x^2-64y^2-504x+768y-2844=0 ?

The solution to 36x^2-64y^2-504x+768y-2844=0 is Hyperbola with (h,k)=(7,6),a=8,b=6

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36x^2-64y^2-504x+768y-2844=0

36 x^{2} - 64 y^{2} - 504 x + 768 y - 2844 = 0

(h, k) = (7, 6), a = 8, b = 6

Solution steps

36 x^{2} - 64 y^{2} - 504 x + 768 y - 2844 = 0

Rewrite

36 x^{2} - 64 y^{2} - 504 x + 768 y - 2844 = 0

in the form of a standard hyperbola equation

\frac{( x - 7 ) ^{2}}{8 ^{2}} - \frac{( y - 6 ) ^{2}}{6 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (7, 6), a = 8, b = 6

4 x^{2} - 5 y^{2} + 8 x - 10 y + 19 = 0

16 y^{2} - 9 x^{2} - 112 y + 36 x + 124 = 0

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

\frac{( x - 6 ) ^{2}}{25} - (y + 1)^{2} = 1

\frac{( y - 6 ) ^{2}}{9} - (x - 6)^{2} = 1

What is 36x^2-64y^2-504x+768y-2844=0 ?
The solution to 36x^2-64y^2-504x+768y-2844=0 is Hyperbola with (h,k)=(7,6),a=8,b=6