What is -64x^2+25y^2-1152x-350y-5559=0 ?

The solution to -64x^2+25y^2-1152x-350y-5559=0 is Hyperbola with (h,k)=(-9,7),a=8,b=5

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-64x^2+25y^2-1152x-350y-5559=0

- 64 x^{2} + 25 y^{2} - 1152 x - 350 y - 5559 = 0

(h, k) = (- 9, 7), a = 8, b = 5

Solution steps

- 64 x^{2} + 25 y^{2} - 1152 x - 350 y - 5559 = 0

Rewrite

- 64 x^{2} + 25 y^{2} - 1152 x - 350 y - 5559 = 0

in the form of a standard hyperbola equation

\frac{( y - 7 ) ^{2}}{8 ^{2}} - \frac{( x - ( - 9 ) ) ^{2}}{5 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 9, 7), a = 8, b = 5

5 y^{(2)} - 16 x^{(2)} - 400 = 0

x^{2} - y^{2} + 7 x + 8 y - 5 = 0

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

2 x^{2} - 4 y^{2} + 12 x + 8 y + 10 = 0

\frac{x ^{2}}{11} - \frac{y ^{2}}{16} = 1

What is -64x^2+25y^2-1152x-350y-5559=0 ?
The solution to -64x^2+25y^2-1152x-350y-5559=0 is Hyperbola with (h,k)=(-9,7),a=8,b=5