What is -16x^2+25y^2+64x-100y-364=0 ?

The solution to -16x^2+25y^2+64x-100y-364=0 is Hyperbola with (h,k)=(2,2),a=4,b=5

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-16x^2+25y^2+64x-100y-364=0

- 16 x^{2} + 25 y^{2} + 64 x - 100 y - 364 = 0

(h, k) = (2, 2), a = 4, b = 5

Solution steps

- 16 x^{2} + 25 y^{2} + 64 x - 100 y - 364 = 0

Rewrite

- 16 x^{2} + 25 y^{2} + 64 x - 100 y - 364 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (2, 2), a = 4, b = 5

5 x^{2} - 10 y^{2} - 10 = 0

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

\frac{( x - 5 ) ^{2}}{25} - \frac{( y - 5 ) ^{2}}{16} = 1

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

x^{2} - x - 4 y^{2} + 24 y - 35 = 0

What is -16x^2+25y^2+64x-100y-364=0 ?
The solution to -16x^2+25y^2+64x-100y-364=0 is Hyperbola with (h,k)=(2,2),a=4,b=5