- #1
Rijad Hadzic
- 321
- 20
Homework Statement
[itex] {(x,y) ∈ ℝ^2 : (y-x)(y+x) = 0 } [/itex]
Homework Equations
The Attempt at a Solution
[/B]
Is the reason the answer is the union of y = -x and y = x because if you divide (y-x)(y+x) = 0 by y-x you get y = -x and if you divide (y-x)(y+x) = 0 by y+x you get y = x?
and if you multiply (y-x)(y+x) = 0 by any constant, after you divide by the factors you will get the same solutions anyways?