What is 25x^2-9y^2+50x-36y-236=0 ?

The solution to 25x^2-9y^2+50x-36y-236=0 is Hyperbola with (h,k)=(-1,-2),a=3,b=5

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25x^2-9y^2+50x-36y-236=0

25 x^{2} - 9 y^{2} + 50 x - 36 y - 236 = 0

(h, k) = (- 1, - 2), a = 3, b = 5

Solution steps

25 x^{2} - 9 y^{2} + 50 x - 36 y - 236 = 0

Rewrite

25 x^{2} - 9 y^{2} + 50 x - 36 y - 236 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (- 1, - 2), a = 3, b = 5

\frac{( x + 1 ) ^{2}}{16} - \frac{( y - 2 ) ^{2}}{9} = 1

x^{2} - y^{2} - 6 x - 7 = 0

x^{(2)} - 6 = \frac{( y ^{(2)} )}{( 3 )}

\frac{x ^{2}}{9} + \frac{2 x}{3} - 9 y^{2} - 54 y - 81 = 0

\frac{1}{36} x^{2} - \frac{1}{4} y^{2} = 1

What is 25x^2-9y^2+50x-36y-236=0 ?
The solution to 25x^2-9y^2+50x-36y-236=0 is Hyperbola with (h,k)=(-1,-2),a=3,b=5