What is 16x^2-25y^2-256x-150y+399=0 ?

The solution to 16x^2-25y^2-256x-150y+399=0 is Hyperbola with (h,k)=(8,-3),a=5,b=4

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

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

(h, k) = (8, - 3), a = 5, b = 4

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

\frac{( x - 8 ) ^{2}}{5 ^{2}} - \frac{( y - ( - 3 ) ) ^{2}}{4 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (8, - 3), a = 5, b = 4

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

4 x^{2} - 12 y^{2} + 8 x - 2 y = 2

What is 16x^2-25y^2-256x-150y+399=0 ?
The solution to 16x^2-25y^2-256x-150y+399=0 is Hyperbola with (h,k)=(8,-3),a=5,b=4