What is 36(x-5)^2-64(y-2)^2=2304 ?

The solution to 36(x-5)^2-64(y-2)^2=2304 is Hyperbola with (h,k)=(5,2),a=8,b=6

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36(x-5)^2-64(y-2)^2=2304

36 (x - 5)^{2} - 64 (y - 2)^{2} = 2304

(h, k) = (5, 2), a = 8, b = 6

Solution steps

36 (x - 5)^{2} - 64 (y - 2)^{2} = 2304

Rewrite

36 (x - 5)^{2} - 64 (y - 2)^{2} = 2304

in the form of a standard hyperbola equation

\frac{( x - 5 ) ^{2}}{8 ^{2}} - \frac{( y - 2 ) ^{2}}{6 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (5, 2), a = 8, b = 6

\frac{( y - 4 ) ^{2}}{36} - \frac{( x - 1 ) ^{2}}{16} = 1

- 16 x^{2} + y^{2} + 128 x + 2 y - 271 = 0

x^{2} - 36 y^{2} = 36

x^{2} - 4 y^{2} - 64 = 0

2 x^{2} - y^{2} = 1

What is 36(x-5)^2-64(y-2)^2=2304 ?
The solution to 36(x-5)^2-64(y-2)^2=2304 is Hyperbola with (h,k)=(5,2),a=8,b=6