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

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

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

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

(h, k) = (- 3, 0), a = 3, b = 3

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

\frac{( x - ( - 3 ) ) ^{2}}{( 3 ) ^{2}} - \frac{( y - 0 ) ^{2}}{3 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 3, 0), a = 3, b = 3

36 x^{2} - 25 y^{2} - 8 x - 8 y + 76 = 0

- 16 x^{2} + 9 y^{2} - 64 x - 18 y = 199

\frac{x ^{2}}{4} - \frac{y ^{2}}{9} = - 1

2 y^{2} - 3 x^{2} - 4 y + 12 x + 8 = 0

\frac{( x + 5 ) ^{2}}{16} - \frac{( y - 2 ) ^{2}}{36} = 1

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