Answer :

Given that,

x + y = 4 and xy=2

We take the equation: x + y = 4 and on squaring both sides, we get

(x + y)2 = 42

x2 + y2 + 2xy = 16

x2 + y2 + 2 (2) = 16  (Because xy=2 is given)

x2 + y2 + 4  = 16

x2 + y2 = 16 – 4

x2 + y2 =12

Therefore, the value of x2 + y2 is 12

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