- #1

lisamane

- 5

- 0

I tried to solve it by contradiction and so I assume that x and y are rational numbers and both x and y can be written in the form (a/b) where it's in its simplest form and a and b are both integers and b isn't equal to zero.

Therefore let x = (a/b) and y = (c/d)

Therefore (a^2/b^2) - (c^2/d^2) = 2

Then multiply by (b^2)(d^2)

(a^2)(d^2) - (c^2)(b^2) = 2(b^2)(d^2)

I don't know how to go further from here or if I am even on the right track.