What is ((y+5)^2)/9-((x-3)^2)/(25)=9 ?

The solution to ((y+5)^2)/9-((x-3)^2)/(25)=9 is Hyperbola with (h,k)=(3,-5),a=9,b=15

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((y+5)^2)/9-((x-3)^2)/(25)=9

\frac{( y + 5 ) ^{2}}{9} - \frac{( x - 3 ) ^{2}}{25} = 9

(h, k) = (3, - 5), a = 9, b = 15

Solution steps

\frac{( y + 5 ) ^{2}}{9} - \frac{( x - 3 ) ^{2}}{25} = 9

Rewrite

\frac{( y + 5 ) ^{2}}{9} - \frac{( x - 3 ) ^{2}}{25} = 9

in the form of a standard hyperbola equation

\frac{( y - ( - 5 ) ) ^{2}}{9 ^{2}} - \frac{( x - 3 ) ^{2}}{1 5 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (3, - 5), a = 9, b = 15

25 y^{2} - x^{2} + 2 x + 150 y + 225 = 0

\frac{( y + 5 ) ^{2}}{9} - \frac{( x - 3 ) ^{2}}{25} = 1

\frac{( x - 3 ) ^{2}}{16} - \frac{( y + 2 ) ^{2}}{16} = 1

x^{2} - y^{2} = \frac{64}{5}

y^{2} = x^{2} - 5 x + 4

What is ((y+5)^2)/9-((x-3)^2)/(25)=9 ?
The solution to ((y+5)^2)/9-((x-3)^2)/(25)=9 is Hyperbola with (h,k)=(3,-5),a=9,b=15