What is (x-y)(x+y-1)=2018 ?

The solution to (x-y)(x+y-1)=2018 is Hyperbola with (h,k)=(1/2 , 1/2),a=sqrt(2018),b=sqrt(2018)

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(x-y)(x+y-1)=2018

(x - y) (x + y - 1) = 2018

(h, k) = (\frac{1}{2}, \frac{1}{2}), a = 2018, b = 2018

Solution steps

(x - y) (x + y - 1) = 2018

Rewrite

(x - y) (x + y - 1) = 2018

in the form of a standard hyperbola equation

\frac{( x - \frac{1}{2} ) ^{2}}{( 2018 ) ^{2}} - \frac{( y - \frac{1}{2} ) ^{2}}{( 2018 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (\frac{1}{2}, \frac{1}{2}), a = 2018, b = 2018

\frac{x ^{2}}{\frac{324}{9}} - \frac{y ^{2}}{\frac{324}{36}} = 1

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

3 y^{2} - 3 x^{2} + 5 x + 10 y = 5 x^{2} + 1

x^{2} + 8 x - y^{2} - 9 y = 6

\frac{y ^{2}}{16} - \frac{x ^{2}}{49} = 1

What is (x-y)(x+y-1)=2018 ?
The solution to (x-y)(x+y-1)=2018 is Hyperbola with (h,k)=(1/2 , 1/2),a=sqrt(2018),b=sqrt(2018)