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

The solution to 36x^2-64y^2=2304 is Hyperbola with (h,k)=(0,0),a=8,b=6

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36x^2-64y^2=2304

36 x^{2} - 64 y^{2} = 2304

(h, k) = (0, 0), a = 8, b = 6

Solution steps

36 x^{2} - 64 y^{2} = 2304

Rewrite

36 x^{2} - 64 y^{2} = 2304

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{8 ^{2}} - \frac{( y - 0 ) ^{2}}{6 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 8, b = 6

16 x^{2} - 25 y^{2} - 256 x - 150 y + 399 = 0

12 y^{2} - 4 x^{2} + 16 x + 72 y + 44 = 0

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

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

x^{2} - 8 y^{2} = 64

What is 36x^2-64y^2=2304 ?
The solution to 36x^2-64y^2=2304 is Hyperbola with (h,k)=(0,0),a=8,b=6