What is (x+y)(x-y)-2=0 ?

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

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(x+y)(x-y)-2=0

(x + y) (x - y) - 2 = 0

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

Solution steps

(x + y) (x - y) - 2 = 0

Rewrite

(x + y) (x - y) - 2 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

\frac{y ^{2}}{a ^{2}} - \frac{x ^{2}}{b ^{2}} = 1

\frac{( y - 5 ) ^{2}}{25} - \frac{( x + 5 ) ^{2}}{9} = 1

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

9 x^{2} - 16 y^{2} - 36 x + 96 y - 252 = 0

\frac{x ^{2} - 8 x + 16}{16} - \frac{y ^{2} + 4 y - 4}{9} = 0

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