What is 4x^2-6y^2=9 ?

The solution to 4x^2-6y^2=9 is Hyperbola with (h,k)=(0,0),a= 3/2 ,b=sqrt(3/2)

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4x^2-6y^2=9

4 x^{2} - 6 y^{2} = 9

(h, k) = (0, 0), a = \frac{3}{2}, b = \frac{3}{2}

Solution steps

4 x^{2} - 6 y^{2} = 9

Rewrite

4 x^{2} - 6 y^{2} = 9

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{3}{2}, b = \frac{3}{2}

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

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

y^{2} - 16 x^{2} + 64 x - 208 = 0

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

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

What is 4x^2-6y^2=9 ?
The solution to 4x^2-6y^2=9 is Hyperbola with (h,k)=(0,0),a= 3/2 ,b=sqrt(3/2)