What is 3x^2-2y^2+6x-8y-17=0 ?

The solution to 3x^2-2y^2+6x-8y-17=0 is Hyperbola with (h,k)=(-1,-2),a=2,b=sqrt(6)

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3x^2-2y^2+6x-8y-17=0

3 x^{2} - 2 y^{2} + 6 x - 8 y - 17 = 0

(h, k) = (- 1, - 2), a = 2, b = 6

Solution steps

3 x^{2} - 2 y^{2} + 6 x - 8 y - 17 = 0

Rewrite

3 x^{2} - 2 y^{2} + 6 x - 8 y - 17 = 0

in the form of a standard hyperbola equation

\frac{( x - ( - 1 ) ) ^{2}}{2 ^{2}} - \frac{( y - ( - 2 ) ) ^{2}}{( 6 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 1, - 2), a = 2, b = 6

x^{2} = y^{2} + 1

4 x^{2} - 3 y^{2} = 11

a^{2} - b^{2} = 2018 - 2 a

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

\frac{x ^{2}}{100} - \frac{y ^{2}}{36} = 1

What is 3x^2-2y^2+6x-8y-17=0 ?
The solution to 3x^2-2y^2+6x-8y-17=0 is Hyperbola with (h,k)=(-1,-2),a=2,b=sqrt(6)