What is 3x^2-y^2-18x+4y+11=0 ?

The solution to 3x^2-y^2-18x+4y+11=0 is Hyperbola with (h,k)=(3,2),a=2,b=2sqrt(3)

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3x^2-y^2-18x+4y+11=0

3 x^{2} - y^{2} - 18 x + 4 y + 11 = 0

(h, k) = (3, 2), a = 2, b = 23

Solution steps

3 x^{2} - y^{2} - 18 x + 4 y + 11 = 0

Rewrite

3 x^{2} - y^{2} - 18 x + 4 y + 11 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (3, 2), a = 2, b = 23

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

25 y^{2} - 16 x^{2} = 400

x^{2} - y^{2} = 10

6 x^{2} - 3 y^{2} + 12 x - 18 y - 3 = 0

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

What is 3x^2-y^2-18x+4y+11=0 ?
The solution to 3x^2-y^2-18x+4y+11=0 is Hyperbola with (h,k)=(3,2),a=2,b=2sqrt(3)