What is (4x-2y)(6x+3y)=18 ?

The solution to (4x-2y)(6x+3y)=18 is Hyperbola with (h,k)=(0,0),a=(sqrt(3))/2 ,b=sqrt(3)

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(4x-2y)(6x+3y)=18

(4 x - 2 y) (6 x + 3 y) = 18

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

Solution steps

(4 x - 2 y) (6 x + 3 y) = 18

Rewrite

(4 x - 2 y) (6 x + 3 y) = 18

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

9 x^{2} - 4 y^{2} - 36 x - 8 y - 4 = 0

36 x^{2} - 9 y^{2} = 324

\frac{1}{4} (x - 2)^{2} - \frac{1}{16} (y + 7)^{2} = 1

10 x^{(2)} - 25 y^{(2)} = 100

5 x^{2} - 4 y^{2} + 40 x + 24 y + 24 = 0

What is (4x-2y)(6x+3y)=18 ?
The solution to (4x-2y)(6x+3y)=18 is Hyperbola with (h,k)=(0,0),a=(sqrt(3))/2 ,b=sqrt(3)