What is -25x^2+9y^2+200x-72y-481=0 ?

The solution to -25x^2+9y^2+200x-72y-481=0 is Hyperbola with (h,k)=(4,4),a=5,b=3

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-25x^2+9y^2+200x-72y-481=0

- 25 x^{2} + 9 y^{2} + 200 x - 72 y - 481 = 0

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

Solution steps

- 25 x^{2} + 9 y^{2} + 200 x - 72 y - 481 = 0

Rewrite

- 25 x^{2} + 9 y^{2} + 200 x - 72 y - 481 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

\frac{( x + 5 ) ^{2}}{4} - \frac{( y - 2 ) ^{2}}{9} = 1

0.5 = \frac{2 x ^{2} - y ^{2}}{10}

5 x^{2} - 9 y^{2} + 10 x - 36 y - 14 = 0

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

x^{2} - y^{2} - 2 x - 8 y - 10 = 0

What is -25x^2+9y^2+200x-72y-481=0 ?
The solution to -25x^2+9y^2+200x-72y-481=0 is Hyperbola with (h,k)=(4,4),a=5,b=3