What is y^2-25x^2+8y-9=0 ?

The solution to y^2-25x^2+8y-9=0 is Hyperbola with (h,k)=(0,-4),a=5,b=1

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y^2-25x^2+8y-9=0

y^{2} - 25 x^{2} + 8 y - 9 = 0

(h, k) = (0, - 4), a = 5, b = 1

Solution steps

y^{2} - 25 x^{2} + 8 y - 9 = 0

Rewrite

y^{2} - 25 x^{2} + 8 y - 9 = 0

in the form of a standard hyperbola equation

\frac{( y - ( - 4 ) ) ^{2}}{5 ^{2}} - \frac{( x - 0 ) ^{2}}{1 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, - 4), a = 5, b = 1

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

49 x^{2} - 36 y^{2} = 1764

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

\frac{x ^{2}}{14} - \frac{y ^{2}}{30} = 1

3 x + 2 x^{2} - 3 y - 2 y^{2} + 1 = 0

What is y^2-25x^2+8y-9=0 ?
The solution to y^2-25x^2+8y-9=0 is Hyperbola with (h,k)=(0,-4),a=5,b=1