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

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

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2x^2-3y^2-6=0

2 x^{2} - 3 y^{2} - 6 = 0

(h, k) = (0, 0), a = 3, b = 2

Solution steps

2 x^{2} - 3 y^{2} - 6 = 0

Rewrite

2 x^{2} - 3 y^{2} - 6 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 3, b = 2

\frac{( x - 6 ) ^{2}}{48} - (y - 2)^{2} = 1

1680 = \frac{a}{b} a - b

a^{2} + 9 = c^{2}

3 x^{2} - 2 y^{2} + 4 y - 26 = 0

24 a - a^{2} + b^{2} - 1 = 0

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