What is 9x^2-4y^2-54x+8y+113=0 ?

The solution to 9x^2-4y^2-54x+8y+113=0 is Hyperbola with (h,k)=(3,1),a=3,b=2

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9x^2-4y^2-54x+8y+113=0

9 x^{2} - 4 y^{2} - 54 x + 8 y + 113 = 0

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

Solution steps

9 x^{2} - 4 y^{2} - 54 x + 8 y + 113 = 0

Rewrite

9 x^{2} - 4 y^{2} - 54 x + 8 y + 113 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

What is 9x^2-4y^2-54x+8y+113=0 ?
The solution to 9x^2-4y^2-54x+8y+113=0 is Hyperbola with (h,k)=(3,1),a=3,b=2