What is ((y-5)^2)/(25)-(x-2)^2=1 ?

The solution to ((y-5)^2)/(25)-(x-2)^2=1 is Hyperbola with (h,k)=(2,5),a=5,b=1

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((y-5)^2)/(25)-(x-2)^2=1

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

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

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

x^{2} - y^{2} + 1 = 0

x, x^{2} - 48 x + 640 = m (x)^{2}

25 y^{2} - 300 y - x^{2} + 2 x + 799 = 0

What is ((y-5)^2)/(25)-(x-2)^2=1 ?
The solution to ((y-5)^2)/(25)-(x-2)^2=1 is Hyperbola with (h,k)=(2,5),a=5,b=1