1.

If p+q=12 and pq=22, then find p2 +q2 .

Answer»

Given, p+q=12 and pq=22 

We know that, (p+q)2 =p2 +q2 +2pq   ... (i) 

By putting the given values in equation (i), 

(12)2 =p2 +q2 +2(22) 

144=p2 +q2 +44 

144—44=p2 +q2 

100=p2 +q

So. the value of p2 +q22 is 100.



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