What is -36x^2+64y^2+288x+128y-2816=0 ?

The solution to -36x^2+64y^2+288x+128y-2816=0 is Hyperbola with (h,k)=(4,-1),a=6,b=8

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-36x^2+64y^2+288x+128y-2816=0

- 36 x^{2} + 64 y^{2} + 288 x + 128 y - 2816 = 0

(h, k) = (4, - 1), a = 6, b = 8

Solution steps

- 36 x^{2} + 64 y^{2} + 288 x + 128 y - 2816 = 0

Rewrite

- 36 x^{2} + 64 y^{2} + 288 x + 128 y - 2816 = 0

in the form of a standard hyperbola equation

\frac{( y - ( - 1 ) ) ^{2}}{6 ^{2}} - \frac{( x - 4 ) ^{2}}{8 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (4, - 1), a = 6, b = 8

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

x^{2} = 2 (y^{2} - 0.01)

x^{2} - 2 x - 4 y^{2} + 24 y - 31 = 0

9 x^{2} - 4 y^{2} + 36 = 0

- x^{2} + y^{2} - 6 = 3

What is -36x^2+64y^2+288x+128y-2816=0 ?
The solution to -36x^2+64y^2+288x+128y-2816=0 is Hyperbola with (h,k)=(4,-1),a=6,b=8