An algebra problem by Abhyudaya Apoorva
Algebra
Level
2
If and , find .
4
2
1
Insufficient Information
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Given : x + y = 2
( x + y ) 2 = 4 , Squaring both the sides
x 2 + 2 x y + y 2 = 4
2 + 2 x y = 4 ( x 2 + y 2 = 2 )
2 x y = 2
x y = 1