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Question

If the value of p2+q2=21 and pq=30, then find the value of (p+q)2

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Solution

Given,
p2+q2=21 , pq=30

We know that,
(p+q)2=p2+q2+2pq
(p+q)2=21+2×30
(p+q)2=21+60
(p+q)2=81

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