What is 9x^2-9y^2-18x+54=0 ?

The solution to 9x^2-9y^2-18x+54=0 is Hyperbola with (h,k)=(1,0),a=sqrt(5),b=sqrt(5)

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9x^2-9y^2-18x+54=0

9 x^{2} - 9 y^{2} - 18 x + 54 = 0

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

Solution steps

9 x^{2} - 9 y^{2} - 18 x + 54 = 0

Rewrite

9 x^{2} - 9 y^{2} - 18 x + 54 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

y^{2} - 4 x^{2} + 16 x - 2 y = 31

(3 y + 3)^{2} + x = (x - 4)^{2}

4 y^{2} - 9 x^{2} + 16 y + 18 x = 29

- y^{2} + z^{2} = 1

4 y^{2} - x^{2} + 40 y - 4 x + 60 = 0

What is 9x^2-9y^2-18x+54=0 ?
The solution to 9x^2-9y^2-18x+54=0 is Hyperbola with (h,k)=(1,0),a=sqrt(5),b=sqrt(5)