x^2 - y^2 = x + y and x is not equal to -y, then x - y =
thanks.
Answers:
Look at the left hand side of the equation. This is a difference of two squares. Factor it.
(x + y)(x - y) = x + y
Now we can divide both sides by (x + y) Note: we could not do this if x = -y because then we would be dividing by 0.
Now we get
(x - y) = 1
Hope that helped.
x=3 and y=2
Before even solve this question,
0 came to my mind as a perfect answer. But one of the condition is X <> Y so x and y couldn't equal to 0 at the same time.
So I simpled this:
x^2 - y^2 = x + y
x^2 - x = y^2 + y
-x - y = y^2 - x^2
-x - y + 2x = y^2 - x^2 +2x (plus 2x on each side)
x - y = y^2 - x^2 + 2x
id trust the math teacher :)
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