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Question
If p + q = 12 and pq = 22, then find p2 + q2.
Solution
Given, p + q = 12 and pq = 22
Since, (p + q)2 = p2 + q2 + 2pq ...[Using the identity, (a + b)2 = a2 + b2 + 2ab]
∴ (12)2 = p2 + q2 + 2 × 22
⇒ p2 + q2 = (12)2 – 44
⇒ p2 + q2 = 144 – 44 = 100
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