What is ((x-5)^2)/4-((y+5)^2)/9 =1 ?

The solution to ((x-5)^2)/4-((y+5)^2)/9 =1 is Hyperbola with (h,k)=(5,-5),a=2,b=3

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((x-5)^2)/4-((y+5)^2)/9 =1

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

x^{2} - y^{2} + 7 x + 8 y = 5

x^{2} - (y - 3)^{2} = 16

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

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

x^{2} - 9 y^{2} + 4 x + 18 y - 149 = 0

What is ((x-5)^2)/4-((y+5)^2)/9 =1 ?
The solution to ((x-5)^2)/4-((y+5)^2)/9 =1 is Hyperbola with (h,k)=(5,-5),a=2,b=3