What is y^2-9x^2-36x-45=0 ?

The solution to y^2-9x^2-36x-45=0 is Hyperbola with (h,k)=(-2,0),a=3,b=1

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y^2-9x^2-36x-45=0

y^{2} - 9 x^{2} - 36 x - 45 = 0

(h, k) = (- 2, 0), a = 3, b = 1

Solution steps

y^{2} - 9 x^{2} - 36 x - 45 = 0

Rewrite

y^{2} - 9 x^{2} - 36 x - 45 = 0

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{3 ^{2}} - \frac{( x - ( - 2 ) ) ^{2}}{1 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 2, 0), a = 3, b = 1

x^{2} - y^{2} - 4 x - 12 y + 15 = 0

3 x^{2} - 2 y^{2} = 12

\frac{- x ^{2}}{5} + \frac{y ^{2}}{7} = 1

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

(x - 2 y) (x + 2 y) = 4

What is y^2-9x^2-36x-45=0 ?
The solution to y^2-9x^2-36x-45=0 is Hyperbola with (h,k)=(-2,0),a=3,b=1