What is (x+y)(x-y)=12 ?

The solution to (x+y)(x-y)=12 is Hyperbola with (h,k)=(0,0),a=2sqrt(3),b=2sqrt(3)

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(x+y)(x-y)=12

(x + y) (x - y) = 12

(h, k) = (0, 0), a = 23, b = 23

Solution steps

(x + y) (x - y) = 12

Rewrite

(x + y) (x - y) = 12

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 23, b = 23

(\frac{y - 4}{9})^{2} - (\frac{x - 6}{5})^{2} = 1

3 y^{2} - 4 x^{2} - 8 x - 24 y - 40 = 0

4 x^{2} - 2 y^{2} + 36 y + 24 x = 36

9 x^{2} - 16 y^{2} - 108 x + 128 y = - 212

- x^{2} - 16 x + 4 y^{2} - 12 y + 16 = 0

What is (x+y)(x-y)=12 ?
The solution to (x+y)(x-y)=12 is Hyperbola with (h,k)=(0,0),a=2sqrt(3),b=2sqrt(3)