SOLUTION: If x^2 + y^2 = 2xy, then x must equal ? A) –1 B) 0 C) 1 D) –y E) y

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Question 252683: If x^2 + y^2 = 2xy, then x must equal ?
A) –1 B) 0 C) 1 D) –y E) y
Found 2 solutions by palanisamy, Alan3354:
Answer by palanisamy(496) About Me  (Show Source):
You can put this solution on YOUR website!
Given, x^2 + y^2 = 2xy
x^2 + y^2 - 2xy = 0
(x-y)^2 = 0
(x-y) = 0
x = y

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
If x^2 + y^2 = 2xy, then x must equal ?
A) –1 B) 0 C) 1 D) –y E) y
-------------------------
x^2 - 2xy + y^2 = 0
(x-y)^2 = 0
x = y