What is 144x^2-25y^2+864x-100y-2404=0 ?

The solution to 144x^2-25y^2+864x-100y-2404=0 is Hyperbola with (h,k)=(-3,-2),a=5,b=12

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144x^2-25y^2+864x-100y-2404=0

144 x^{2} - 25 y^{2} + 864 x - 100 y - 2404 = 0

(h, k) = (- 3, - 2), a = 5, b = 12

Solution steps

144 x^{2} - 25 y^{2} + 864 x - 100 y - 2404 = 0

Rewrite

144 x^{2} - 25 y^{2} + 864 x - 100 y - 2404 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (- 3, - 2), a = 5, b = 12

25 x^{2} - 16 y^{2} + 50 x + 128 y - 631 = 0

4 x^{2} - 4 y^{2} = 16

2 x^{2} - 3 y^{2} = 30

\frac{20}{x + y} + \frac{12}{x - y} = 5

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

What is 144x^2-25y^2+864x-100y-2404=0 ?
The solution to 144x^2-25y^2+864x-100y-2404=0 is Hyperbola with (h,k)=(-3,-2),a=5,b=12