What is 9x^2-9y^2+18x+36y=63 ?

The solution to 9x^2-9y^2+18x+36y=63 is Hyperbola with (h,k)=(-1,2),a=2,b=2

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9x^2-9y^2+18x+36y=63

9 x^{2} - 9 y^{2} + 18 x + 36 y = 63

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

Solution steps

9 x^{2} - 9 y^{2} + 18 x + 36 y = 63

Rewrite

9 x^{2} - 9 y^{2} + 18 x + 36 y = 63

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

y^{2} = 28 x

\frac{x ^{2}}{64} - \frac{y ^{2}}{9} = 1

\frac{y ^{2}}{16} - \frac{x ^{2}}{25} = 1

\frac{x ^{2}}{64} - \frac{y ^{2}}{36} = 1

9 x^{2} - 4 y^{2} - 90 x - 32 y = - 305

What is 9x^2-9y^2+18x+36y=63 ?
The solution to 9x^2-9y^2+18x+36y=63 is Hyperbola with (h,k)=(-1,2),a=2,b=2