What is -9x^2+36x+4y^2-24y=63 ?

The solution to -9x^2+36x+4y^2-24y=63 is Hyperbola with (h,k)=(2,3),a=(3sqrt(7))/2 ,b=sqrt(7)

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-9x^2+36x+4y^2-24y=63

- 9 x^{2} + 36 x + 4 y^{2} - 24 y = 63

(h, k) = (2, 3), a = \frac{3 7}{2}, b = 7

Solution steps

- 9 x^{2} + 36 x + 4 y^{2} - 24 y = 63

Rewrite

- 9 x^{2} + 36 x + 4 y^{2} - 24 y = 63

in the form of a standard hyperbola equation

\frac{( y - 3 ) ^{2}}{( \frac{3 7}{2} ) ^{2}} - \frac{( x - 2 ) ^{2}}{( 7 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (2, 3), a = \frac{3 7}{2}, b = 7

3 x^{2} - 4 y^{2} + 3 - 6 x + 16 y - 18 = 0

\frac{y ^{2}}{625} - \frac{x ^{2}}{2500} = 1

x^{2} - y^{2} = - 16

- x^{2} + 2 x + 4 y^{2} + 24 y + 31 = 0

9 x^{2} - 9 y^{2} = 9

What is -9x^2+36x+4y^2-24y=63 ?
The solution to -9x^2+36x+4y^2-24y=63 is Hyperbola with (h,k)=(2,3),a=(3sqrt(7))/2 ,b=sqrt(7)