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p + q = 4
and p
2
+ q
2
= 7
(p + q)
2
= (4)
2
= 16
⇒ p
2
+ q
2
+ 2pq = 16
⇒ 7 + 2pq = 16
⇒ 2pq = 9
pq =
2
9
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