What is -9x^2+25y^2-54x-50y-281=0 ?

The solution to -9x^2+25y^2-54x-50y-281=0 is Hyperbola with (h,k)=(-3,1),a=3,b=5

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-9x^2+25y^2-54x-50y-281=0

- 9 x^{2} + 25 y^{2} - 54 x - 50 y - 281 = 0

(h, k) = (- 3, 1), a = 3, b = 5

Solution steps

- 9 x^{2} + 25 y^{2} - 54 x - 50 y - 281 = 0

Rewrite

- 9 x^{2} + 25 y^{2} - 54 x - 50 y - 281 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (- 3, 1), a = 3, b = 5

\frac{x ^{2}}{64} - \frac{y ^{2}}{- 39} = 1

x^{2} - y^{2} - 2 x - 2 y - 4 = 0

2 x^{2} - y^{2} = 12

100 x^{2} - 44 y^{2} + 275 = 0

10 y^{2} + 60 y - 160 x - 255 = 20 x^{2}

What is -9x^2+25y^2-54x-50y-281=0 ?
The solution to -9x^2+25y^2-54x-50y-281=0 is Hyperbola with (h,k)=(-3,1),a=3,b=5